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gps_groups • Show schema
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{'Agroup': True, 'Zgroup': False, 'abelian': True, 'abelian_quotient': '1536.1699', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 3, 'aut_exponent': 16, 'aut_gen_orders': [8, 16, 16, 16, 16, 8, 8, 2], 'aut_gens': [[1, 8], [1159, 188], [773, 1261], [771, 348], [583, 680], [193, 426], [1155, 189], [5, 905], [1, 1292]], 'aut_group': None, 'aut_hash': 2189271166472134719, 'aut_nilpotency_class': 4, 'aut_nilpotent': True, 'aut_order': 16384, 'aut_permdeg': 258, 'aut_perms': 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'autcent_abelian': False, 'autcent_cyclic': False, 'autcent_exponent': 16, 'autcent_group': None, 'autcent_hash': 2189271166472134719, 'autcent_nilpotent': True, 'autcent_order': 16384, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': True, 'autcent_tex': 'C_2.C_4^3.C_2^6.C_2', 'autcentquo_abelian': True, 'autcentquo_cyclic': True, 'autcentquo_exponent': 1, 'autcentquo_group': '1.1', 'autcentquo_hash': 1, 'autcentquo_nilpotent': True, 'autcentquo_order': 1, 'autcentquo_solvable': True, 'autcentquo_supersolvable': True, 'autcentquo_tex': 'C_1', 'cc_stats': [[1, 1, 1], [2, 1, 3], [3, 1, 2], [4, 1, 12], [6, 1, 6], [8, 1, 48], [12, 1, 24], [16, 1, 64], [24, 1, 96], [32, 1, 128], [48, 1, 128], [64, 1, 256], [96, 1, 256], [192, 1, 512]], 'center_label': '1536.1699', 'center_order': 1536, 'central_product': True, 'central_quotient': '1.1', 'commutator_count': 0, 'commutator_label': '1.1', 'complements_known': True, 'complete': False, 'complex_characters_known': False, 'composition_factors': ['2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '3.1'], 'composition_length': 10, 'conjugacy_classes_known': True, 'counter': 1699, 'cyclic': False, 'derived_length': 1, 'dihedral': False, 'direct_factorization': [['3.1', 1], ['64.1', 1], ['8.1', 1]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 3], [3, 1, 2, 1], [4, 1, 2, 6], [6, 1, 2, 3], [8, 1, 4, 12], [12, 1, 4, 6], [16, 1, 8, 8], [24, 1, 8, 12], [32, 1, 16, 8], [48, 1, 16, 8], [64, 1, 32, 8], [96, 1, 32, 8], [192, 1, 64, 8]], 'element_repr_type': 'PC', 'elementary': 2, 'eulerian_function': 48, 'exponent': 192, 'exponents_of_order': [9, 1], 'factors_of_aut_order': [2], 'factors_of_order': [2, 3], 'faithful_reps': [], 'familial': False, 'frattini_label': '128.128', 'frattini_quotient': '12.5', 'hash': 1699, 'hyperelementary': 2, 'inner_abelian': True, 'inner_cyclic': True, 'inner_exponent': 1, 'inner_gen_orders': [1, 1], 'inner_gens': [[1, 8], [1, 8]], 'inner_hash': 1, 'inner_nilpotent': True, 'inner_order': 1, 'inner_split': True, 'inner_tex': 'C_1', 'inner_used': [], 'irrC_degree': -1, 'irrQ_degree': -1, 'irrQ_dim': -1, 'irrR_degree': None, 'irrep_stats': [[1, 1536]], 'label': '1536.1699', 'linC_count': None, 'linC_degree': 2, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': None, 'linQ_degree_count': None, 'linQ_dim': None, 'linQ_dim_count': None, 'linR_count': None, 'linR_degree': None, 'maximal_subgroups_known': True, 'metabelian': True, 'metacyclic': True, 'monomial': True, 'name': 'C8*C192', 'ngens': 10, 'nilpotency_class': 1, 'nilpotent': True, 'normal_counts': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 32, 'number_characteristic_subgroups': 44, 'number_conjugacy_classes': 1536, 'number_divisions': 92, 'number_normal_subgroups': 164, 'number_subgroup_autclasses': 80, 'number_subgroup_classes': 164, 'number_subgroups': 164, 'old_label': None, 'order': 1536, 'order_factorization_type': 51, 'order_stats': [[1, 1], [2, 3], [3, 2], [4, 12], [6, 6], [8, 48], [12, 24], [16, 64], [24, 96], [32, 128], [48, 128], [64, 256], [96, 256], [192, 512]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': True, 'outer_exponent': 16, 'outer_gen_orders': [16, 16, 8, 16, 8, 4, 8, 16], 'outer_gen_pows': [0, 0, 0, 0, 0, 0, 0, 0], 'outer_gens': [[965, 620], [1155, 1246], [961, 1451], [963, 1496], [5, 972], [385, 526], [577, 952], [197, 11]], 'outer_group': None, 'outer_hash': 2189271166472134719, 'outer_nilpotent': True, 'outer_order': 16384, 'outer_permdeg': 258, 'outer_perms': 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-2, -2, -2, -2, -2, -2, -2, -2, -3, 20, 51, 113, 144, 175, 206, 237, 268]}, 'GLFp': {'d': 2, 'p': 193, 'gens': [1337164603, 754851110]}, 'Perm': {'d': 75, 'gens': [34812819462234954428607685341897082192301945708552738688865836491528209085355972467097600000000, 2342588841580508410423734921329644840075247833653813500790076806185010650425874457190025134080000000000000000, 17125731743961598921943674325579392227242124480672411041416803851981460023914660624295657472000, 1001305899656801207125599609903299291487045244424726240969792252144359227041592370889603678208000000000000000, 8282187884824921168611668818381987555972846584752266182758164987540677113354309924032688179200, 330849790591367232825143178964023768926091937952705210247376975078109789451986591384082579456000000000000000, 3860415955256618126428729875983775624818504154288173718968029842331521501914651066812729456320, 1649530213841581475001430175259373643701598531447003215154104016101461640635225996085127825760, 544471857487925546941072384503952816534977960565454352280865841524404515036981945541028258664, 4]}}, 'schur_multiplier': [8], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [8, 192], 'solvability_type': 1, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'C_8\\times C_{192}', 'transitive_degree': 1536, 'wreath_data': None, 'wreath_product': False}
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gps_conj_classes • Show schema
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id: 8175944
{'aut_label': '1A', 'centralizer': '1.a1', 'counter': 1, 'group_counter': 1699, 'group_order': 1536, 'label': '1A', 'order': 1, 'powers': [1, 1], 'representative': 0, 'size': 1}
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id: 8176592
{'aut_label': '2A', 'centralizer': '1.a1', 'counter': 2, 'group_counter': 1699, 'group_order': 1536, 'label': '2A', 'order': 2, 'powers': [1, 2], 'representative': 4, 'size': 1}
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id: 8176703
{'aut_label': '2A', 'centralizer': '1.a1', 'counter': 3, 'group_counter': 1699, 'group_order': 1536, 'label': '2B', 'order': 2, 'powers': [1, 3], 'representative': 772, 'size': 1}
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id: 8176814
{'aut_label': '2C', 'centralizer': '1.a1', 'counter': 4, 'group_counter': 1699, 'group_order': 1536, 'label': '2C', 'order': 2, 'powers': [1, 4], 'representative': 768, 'size': 1}
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id: 8176925
{'aut_label': '3A1', 'centralizer': '1.a1', 'counter': 5, 'group_counter': 1699, 'group_order': 1536, 'label': '3A1', 'order': 3, 'powers': [6, 1], 'representative': 1024, 'size': 1}
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id: 8177036
{'aut_label': '3A1', 'centralizer': '1.a1', 'counter': 6, 'group_counter': 1699, 'group_order': 1536, 'label': '3A-1', 'order': 3, 'powers': [5, 1], 'representative': 512, 'size': 1}
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id: 8177147
{'aut_label': '4A1', 'centralizer': '1.a1', 'counter': 7, 'group_counter': 1699, 'group_order': 1536, 'label': '4A1', 'order': 4, 'powers': [2, 8], 'representative': 6, 'size': 1}
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id: 8177258
{'aut_label': '4A1', 'centralizer': '1.a1', 'counter': 8, 'group_counter': 1699, 'group_order': 1536, 'label': '4A-1', 'order': 4, 'powers': [2, 7], 'representative': 2, 'size': 1}
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id: 8177369
{'aut_label': '4A1', 'centralizer': '1.a1', 'counter': 9, 'group_counter': 1699, 'group_order': 1536, 'label': '4B1', 'order': 4, 'powers': [2, 10], 'representative': 774, 'size': 1}
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id: 8175945
{'aut_label': '4A1', 'centralizer': '1.a1', 'counter': 10, 'group_counter': 1699, 'group_order': 1536, 'label': '4B-1', 'order': 4, 'powers': [2, 9], 'representative': 770, 'size': 1}
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id: 8176056
{'aut_label': '4A1', 'centralizer': '1.a1', 'counter': 11, 'group_counter': 1699, 'group_order': 1536, 'label': '4C1', 'order': 4, 'powers': [3, 12], 'representative': 390, 'size': 1}
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id: 8176167
{'aut_label': '4A1', 'centralizer': '1.a1', 'counter': 12, 'group_counter': 1699, 'group_order': 1536, 'label': '4C-1', 'order': 4, 'powers': [3, 11], 'representative': 1154, 'size': 1}
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id: 8176278
{'aut_label': '4A1', 'centralizer': '1.a1', 'counter': 13, 'group_counter': 1699, 'group_order': 1536, 'label': '4D1', 'order': 4, 'powers': [3, 14], 'representative': 386, 'size': 1}
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id: 8176389
{'aut_label': '4A1', 'centralizer': '1.a1', 'counter': 14, 'group_counter': 1699, 'group_order': 1536, 'label': '4D-1', 'order': 4, 'powers': [3, 13], 'representative': 1158, 'size': 1}
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id: 8176500
{'aut_label': '4E1', 'centralizer': '1.a1', 'counter': 15, 'group_counter': 1699, 'group_order': 1536, 'label': '4E1', 'order': 4, 'powers': [4, 16], 'representative': 388, 'size': 1}
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id: 8176548
{'aut_label': '4E1', 'centralizer': '1.a1', 'counter': 16, 'group_counter': 1699, 'group_order': 1536, 'label': '4E-1', 'order': 4, 'powers': [4, 15], 'representative': 1156, 'size': 1}
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id: 8176559
{'aut_label': '4F1', 'centralizer': '1.a1', 'counter': 17, 'group_counter': 1699, 'group_order': 1536, 'label': '4F1', 'order': 4, 'powers': [4, 18], 'representative': 384, 'size': 1}
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id: 8176570
{'aut_label': '4F1', 'centralizer': '1.a1', 'counter': 18, 'group_counter': 1699, 'group_order': 1536, 'label': '4F-1', 'order': 4, 'powers': [4, 17], 'representative': 1152, 'size': 1}
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id: 8176581
{'aut_label': '6A1', 'centralizer': '1.a1', 'counter': 19, 'group_counter': 1699, 'group_order': 1536, 'label': '6A1', 'order': 6, 'powers': [5, 2], 'representative': 516, 'size': 1}
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id: 8176593
{'aut_label': '6A1', 'centralizer': '1.a1', 'counter': 20, 'group_counter': 1699, 'group_order': 1536, 'label': '6A-1', 'order': 6, 'powers': [6, 2], 'representative': 1028, 'size': 1}
-
id: 8176604
{'aut_label': '6A1', 'centralizer': '1.a1', 'counter': 21, 'group_counter': 1699, 'group_order': 1536, 'label': '6B1', 'order': 6, 'powers': [6, 3], 'representative': 260, 'size': 1}
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id: 8176615
{'aut_label': '6A1', 'centralizer': '1.a1', 'counter': 22, 'group_counter': 1699, 'group_order': 1536, 'label': '6B-1', 'order': 6, 'powers': [5, 3], 'representative': 1284, 'size': 1}
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id: 8176626
{'aut_label': '6C1', 'centralizer': '1.a1', 'counter': 23, 'group_counter': 1699, 'group_order': 1536, 'label': '6C1', 'order': 6, 'powers': [6, 4], 'representative': 256, 'size': 1}
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id: 8176637
{'aut_label': '6C1', 'centralizer': '1.a1', 'counter': 24, 'group_counter': 1699, 'group_order': 1536, 'label': '6C-1', 'order': 6, 'powers': [5, 4], 'representative': 1280, 'size': 1}
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id: 8176648
{'aut_label': '8A1', 'centralizer': '1.a1', 'counter': 25, 'group_counter': 1699, 'group_order': 1536, 'label': '8A1', 'order': 8, 'powers': [7, 27], 'representative': 3, 'size': 1}
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id: 8176659
{'aut_label': '8A1', 'centralizer': '1.a1', 'counter': 26, 'group_counter': 1699, 'group_order': 1536, 'label': '8A-1', 'order': 8, 'powers': [8, 28], 'representative': 5, 'size': 1}
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id: 8176670
{'aut_label': '8A1', 'centralizer': '1.a1', 'counter': 27, 'group_counter': 1699, 'group_order': 1536, 'label': '8A3', 'order': 8, 'powers': [8, 25], 'representative': 1, 'size': 1}
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id: 8176681
{'aut_label': '8A1', 'centralizer': '1.a1', 'counter': 28, 'group_counter': 1699, 'group_order': 1536, 'label': '8A-3', 'order': 8, 'powers': [7, 26], 'representative': 7, 'size': 1}
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id: 8176692
{'aut_label': '8A1', 'centralizer': '1.a1', 'counter': 29, 'group_counter': 1699, 'group_order': 1536, 'label': '8B1', 'order': 8, 'powers': [7, 31], 'representative': 771, 'size': 1}
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id: 8176704
{'aut_label': '8A1', 'centralizer': '1.a1', 'counter': 30, 'group_counter': 1699, 'group_order': 1536, 'label': '8B-1', 'order': 8, 'powers': [8, 32], 'representative': 773, 'size': 1}
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id: 8176715
{'aut_label': '8A1', 'centralizer': '1.a1', 'counter': 31, 'group_counter': 1699, 'group_order': 1536, 'label': '8B3', 'order': 8, 'powers': [8, 29], 'representative': 769, 'size': 1}
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id: 8176726
{'aut_label': '8A1', 'centralizer': '1.a1', 'counter': 32, 'group_counter': 1699, 'group_order': 1536, 'label': '8B-3', 'order': 8, 'powers': [7, 30], 'representative': 775, 'size': 1}
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id: 8176737
{'aut_label': '8A1', 'centralizer': '1.a1', 'counter': 33, 'group_counter': 1699, 'group_order': 1536, 'label': '8C1', 'order': 8, 'powers': [9, 35], 'representative': 387, 'size': 1}
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id: 8176748
{'aut_label': '8A1', 'centralizer': '1.a1', 'counter': 34, 'group_counter': 1699, 'group_order': 1536, 'label': '8C-1', 'order': 8, 'powers': [10, 36], 'representative': 1157, 'size': 1}
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id: 8176759
{'aut_label': '8A1', 'centralizer': '1.a1', 'counter': 35, 'group_counter': 1699, 'group_order': 1536, 'label': '8C3', 'order': 8, 'powers': [10, 33], 'representative': 1153, 'size': 1}
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id: 8176770
{'aut_label': '8A1', 'centralizer': '1.a1', 'counter': 36, 'group_counter': 1699, 'group_order': 1536, 'label': '8C-3', 'order': 8, 'powers': [9, 34], 'representative': 391, 'size': 1}
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id: 8176781
{'aut_label': '8A1', 'centralizer': '1.a1', 'counter': 37, 'group_counter': 1699, 'group_order': 1536, 'label': '8D1', 'order': 8, 'powers': [11, 39], 'representative': 195, 'size': 1}
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id: 8176792
{'aut_label': '8A1', 'centralizer': '1.a1', 'counter': 38, 'group_counter': 1699, 'group_order': 1536, 'label': '8D-1', 'order': 8, 'powers': [12, 40], 'representative': 1349, 'size': 1}
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id: 8176803
{'aut_label': '8A1', 'centralizer': '1.a1', 'counter': 39, 'group_counter': 1699, 'group_order': 1536, 'label': '8D3', 'order': 8, 'powers': [12, 37], 'representative': 577, 'size': 1}
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id: 8176815
{'aut_label': '8A1', 'centralizer': '1.a1', 'counter': 40, 'group_counter': 1699, 'group_order': 1536, 'label': '8D-3', 'order': 8, 'powers': [11, 38], 'representative': 967, 'size': 1}
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id: 8176826
{'aut_label': '8A1', 'centralizer': '1.a1', 'counter': 41, 'group_counter': 1699, 'group_order': 1536, 'label': '8E1', 'order': 8, 'powers': [11, 43], 'representative': 963, 'size': 1}
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id: 8176837
{'aut_label': '8A1', 'centralizer': '1.a1', 'counter': 42, 'group_counter': 1699, 'group_order': 1536, 'label': '8E-1', 'order': 8, 'powers': [12, 44], 'representative': 581, 'size': 1}
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id: 8176848
{'aut_label': '8A1', 'centralizer': '1.a1', 'counter': 43, 'group_counter': 1699, 'group_order': 1536, 'label': '8E3', 'order': 8, 'powers': [12, 41], 'representative': 1345, 'size': 1}
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id: 8176859
{'aut_label': '8A1', 'centralizer': '1.a1', 'counter': 44, 'group_counter': 1699, 'group_order': 1536, 'label': '8E-3', 'order': 8, 'powers': [11, 42], 'representative': 199, 'size': 1}
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id: 8176870
{'aut_label': '8A1', 'centralizer': '1.a1', 'counter': 45, 'group_counter': 1699, 'group_order': 1536, 'label': '8F1', 'order': 8, 'powers': [10, 47], 'representative': 385, 'size': 1}
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id: 8176881
{'aut_label': '8A1', 'centralizer': '1.a1', 'counter': 46, 'group_counter': 1699, 'group_order': 1536, 'label': '8F-1', 'order': 8, 'powers': [9, 48], 'representative': 1159, 'size': 1}
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id: 8176892
{'aut_label': '8A1', 'centralizer': '1.a1', 'counter': 47, 'group_counter': 1699, 'group_order': 1536, 'label': '8F3', 'order': 8, 'powers': [9, 45], 'representative': 1155, 'size': 1}
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id: 8176903
{'aut_label': '8A1', 'centralizer': '1.a1', 'counter': 48, 'group_counter': 1699, 'group_order': 1536, 'label': '8F-3', 'order': 8, 'powers': [10, 46], 'representative': 389, 'size': 1}
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id: 8176914
{'aut_label': '8A1', 'centralizer': '1.a1', 'counter': 49, 'group_counter': 1699, 'group_order': 1536, 'label': '8G1', 'order': 8, 'powers': [13, 51], 'representative': 193, 'size': 1}
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id: 8176926
{'aut_label': '8A1', 'centralizer': '1.a1', 'counter': 50, 'group_counter': 1699, 'group_order': 1536, 'label': '8G-1', 'order': 8, 'powers': [14, 52], 'representative': 1351, 'size': 1}
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id: 8176937
{'aut_label': '8A1', 'centralizer': '1.a1', 'counter': 51, 'group_counter': 1699, 'group_order': 1536, 'label': '8G3', 'order': 8, 'powers': [14, 49], 'representative': 579, 'size': 1}
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id: 8176948
{'aut_label': '8A1', 'centralizer': '1.a1', 'counter': 52, 'group_counter': 1699, 'group_order': 1536, 'label': '8G-3', 'order': 8, 'powers': [13, 50], 'representative': 965, 'size': 1}
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id: 8176959
{'aut_label': '8A1', 'centralizer': '1.a1', 'counter': 53, 'group_counter': 1699, 'group_order': 1536, 'label': '8H1', 'order': 8, 'powers': [14, 55], 'representative': 1347, 'size': 1}
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id: 8176970
{'aut_label': '8A1', 'centralizer': '1.a1', 'counter': 54, 'group_counter': 1699, 'group_order': 1536, 'label': '8H-1', 'order': 8, 'powers': [13, 56], 'representative': 197, 'size': 1}
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id: 8176981
{'aut_label': '8A1', 'centralizer': '1.a1', 'counter': 55, 'group_counter': 1699, 'group_order': 1536, 'label': '8H3', 'order': 8, 'powers': [13, 53], 'representative': 961, 'size': 1}
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id: 8176992
{'aut_label': '8A1', 'centralizer': '1.a1', 'counter': 56, 'group_counter': 1699, 'group_order': 1536, 'label': '8H-3', 'order': 8, 'powers': [14, 54], 'representative': 583, 'size': 1}
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id: 8177003
{'aut_label': '8I1', 'centralizer': '1.a1', 'counter': 57, 'group_counter': 1699, 'group_order': 1536, 'label': '8I1', 'order': 8, 'powers': [15, 59], 'representative': 198, 'size': 1}
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id: 8177014
{'aut_label': '8I1', 'centralizer': '1.a1', 'counter': 58, 'group_counter': 1699, 'group_order': 1536, 'label': '8I-1', 'order': 8, 'powers': [16, 60], 'representative': 1346, 'size': 1}
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id: 8177025
{'aut_label': '8I1', 'centralizer': '1.a1', 'counter': 59, 'group_counter': 1699, 'group_order': 1536, 'label': '8I3', 'order': 8, 'powers': [16, 57], 'representative': 578, 'size': 1}
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id: 8177037
{'aut_label': '8I1', 'centralizer': '1.a1', 'counter': 60, 'group_counter': 1699, 'group_order': 1536, 'label': '8I-3', 'order': 8, 'powers': [15, 58], 'representative': 966, 'size': 1}
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id: 8177048
{'aut_label': '8I1', 'centralizer': '1.a1', 'counter': 61, 'group_counter': 1699, 'group_order': 1536, 'label': '8J1', 'order': 8, 'powers': [15, 63], 'representative': 194, 'size': 1}
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id: 8177059
{'aut_label': '8I1', 'centralizer': '1.a1', 'counter': 62, 'group_counter': 1699, 'group_order': 1536, 'label': '8J-1', 'order': 8, 'powers': [16, 64], 'representative': 1350, 'size': 1}
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id: 8177070
{'aut_label': '8I1', 'centralizer': '1.a1', 'counter': 63, 'group_counter': 1699, 'group_order': 1536, 'label': '8J3', 'order': 8, 'powers': [16, 61], 'representative': 582, 'size': 1}
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id: 8177081
{'aut_label': '8I1', 'centralizer': '1.a1', 'counter': 64, 'group_counter': 1699, 'group_order': 1536, 'label': '8J-3', 'order': 8, 'powers': [15, 62], 'representative': 962, 'size': 1}
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id: 8177092
{'aut_label': '8K1', 'centralizer': '1.a1', 'counter': 65, 'group_counter': 1699, 'group_order': 1536, 'label': '8K1', 'order': 8, 'powers': [17, 67], 'representative': 196, 'size': 1}
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id: 8177103
{'aut_label': '8K1', 'centralizer': '1.a1', 'counter': 66, 'group_counter': 1699, 'group_order': 1536, 'label': '8K-1', 'order': 8, 'powers': [18, 68], 'representative': 1348, 'size': 1}
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id: 8177114
{'aut_label': '8K1', 'centralizer': '1.a1', 'counter': 67, 'group_counter': 1699, 'group_order': 1536, 'label': '8K3', 'order': 8, 'powers': [18, 65], 'representative': 580, 'size': 1}
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id: 8177125
{'aut_label': '8K1', 'centralizer': '1.a1', 'counter': 68, 'group_counter': 1699, 'group_order': 1536, 'label': '8K-3', 'order': 8, 'powers': [17, 66], 'representative': 964, 'size': 1}
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id: 8177136
{'aut_label': '8L1', 'centralizer': '1.a1', 'counter': 69, 'group_counter': 1699, 'group_order': 1536, 'label': '8L1', 'order': 8, 'powers': [17, 71], 'representative': 192, 'size': 1}
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id: 8177148
{'aut_label': '8L1', 'centralizer': '1.a1', 'counter': 70, 'group_counter': 1699, 'group_order': 1536, 'label': '8L-1', 'order': 8, 'powers': [18, 72], 'representative': 1344, 'size': 1}
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id: 8177159
{'aut_label': '8L1', 'centralizer': '1.a1', 'counter': 71, 'group_counter': 1699, 'group_order': 1536, 'label': '8L3', 'order': 8, 'powers': [18, 69], 'representative': 576, 'size': 1}
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id: 8177170
{'aut_label': '8L1', 'centralizer': '1.a1', 'counter': 72, 'group_counter': 1699, 'group_order': 1536, 'label': '8L-3', 'order': 8, 'powers': [17, 70], 'representative': 960, 'size': 1}
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id: 8177181
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 73, 'group_counter': 1699, 'group_order': 1536, 'label': '12A1', 'order': 12, 'powers': [19, 7], 'representative': 1026, 'size': 1}
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id: 8177192
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 74, 'group_counter': 1699, 'group_order': 1536, 'label': '12A-1', 'order': 12, 'powers': [20, 8], 'representative': 518, 'size': 1}
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id: 8177203
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 75, 'group_counter': 1699, 'group_order': 1536, 'label': '12A5', 'order': 12, 'powers': [20, 7], 'representative': 514, 'size': 1}
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id: 8177214
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 76, 'group_counter': 1699, 'group_order': 1536, 'label': '12A-5', 'order': 12, 'powers': [19, 8], 'representative': 1030, 'size': 1}
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id: 8177225
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 77, 'group_counter': 1699, 'group_order': 1536, 'label': '12B1', 'order': 12, 'powers': [19, 9], 'representative': 258, 'size': 1}
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id: 8177236
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 78, 'group_counter': 1699, 'group_order': 1536, 'label': '12B-1', 'order': 12, 'powers': [20, 10], 'representative': 1286, 'size': 1}
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id: 8177247
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 79, 'group_counter': 1699, 'group_order': 1536, 'label': '12B5', 'order': 12, 'powers': [20, 9], 'representative': 1282, 'size': 1}
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id: 8177259
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 80, 'group_counter': 1699, 'group_order': 1536, 'label': '12B-5', 'order': 12, 'powers': [19, 10], 'representative': 262, 'size': 1}
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id: 8177270
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 81, 'group_counter': 1699, 'group_order': 1536, 'label': '12C1', 'order': 12, 'powers': [21, 11], 'representative': 130, 'size': 1}
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id: 8177281
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 82, 'group_counter': 1699, 'group_order': 1536, 'label': '12C-1', 'order': 12, 'powers': [22, 12], 'representative': 1414, 'size': 1}
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id: 8177292
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 83, 'group_counter': 1699, 'group_order': 1536, 'label': '12C5', 'order': 12, 'powers': [22, 11], 'representative': 642, 'size': 1}
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id: 8177303
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 84, 'group_counter': 1699, 'group_order': 1536, 'label': '12C-5', 'order': 12, 'powers': [21, 12], 'representative': 902, 'size': 1}
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id: 8177314
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 85, 'group_counter': 1699, 'group_order': 1536, 'label': '12D1', 'order': 12, 'powers': [21, 13], 'representative': 134, 'size': 1}
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id: 8177325
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 86, 'group_counter': 1699, 'group_order': 1536, 'label': '12D-1', 'order': 12, 'powers': [22, 14], 'representative': 1410, 'size': 1}
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id: 8177336
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 87, 'group_counter': 1699, 'group_order': 1536, 'label': '12D5', 'order': 12, 'powers': [22, 13], 'representative': 646, 'size': 1}
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id: 8177347
{'aut_label': '12A1', 'centralizer': '1.a1', 'counter': 88, 'group_counter': 1699, 'group_order': 1536, 'label': '12D-5', 'order': 12, 'powers': [21, 14], 'representative': 898, 'size': 1}
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id: 8177358
{'aut_label': '12E1', 'centralizer': '1.a1', 'counter': 89, 'group_counter': 1699, 'group_order': 1536, 'label': '12E1', 'order': 12, 'powers': [23, 15], 'representative': 132, 'size': 1}
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id: 8177370
{'aut_label': '12E1', 'centralizer': '1.a1', 'counter': 90, 'group_counter': 1699, 'group_order': 1536, 'label': '12E-1', 'order': 12, 'powers': [24, 16], 'representative': 1412, 'size': 1}
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id: 8177381
{'aut_label': '12E1', 'centralizer': '1.a1', 'counter': 91, 'group_counter': 1699, 'group_order': 1536, 'label': '12E5', 'order': 12, 'powers': [24, 15], 'representative': 644, 'size': 1}
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id: 8177392
{'aut_label': '12E1', 'centralizer': '1.a1', 'counter': 92, 'group_counter': 1699, 'group_order': 1536, 'label': '12E-5', 'order': 12, 'powers': [23, 16], 'representative': 900, 'size': 1}
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id: 8177403
{'aut_label': '12F1', 'centralizer': '1.a1', 'counter': 93, 'group_counter': 1699, 'group_order': 1536, 'label': '12F1', 'order': 12, 'powers': [23, 17], 'representative': 128, 'size': 1}
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id: 8177414
{'aut_label': '12F1', 'centralizer': '1.a1', 'counter': 94, 'group_counter': 1699, 'group_order': 1536, 'label': '12F-1', 'order': 12, 'powers': [24, 18], 'representative': 1408, 'size': 1}
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id: 8177425
{'aut_label': '12F1', 'centralizer': '1.a1', 'counter': 95, 'group_counter': 1699, 'group_order': 1536, 'label': '12F5', 'order': 12, 'powers': [24, 17], 'representative': 640, 'size': 1}
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id: 8177436
{'aut_label': '12F1', 'centralizer': '1.a1', 'counter': 96, 'group_counter': 1699, 'group_order': 1536, 'label': '12F-5', 'order': 12, 'powers': [23, 18], 'representative': 896, 'size': 1}
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id: 8177447
{'aut_label': '16A1', 'centralizer': '1.a1', 'counter': 97, 'group_counter': 1699, 'group_order': 1536, 'label': '16A1', 'order': 16, 'powers': [57, 99], 'representative': 99, 'size': 1}
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id: 8177458
{'aut_label': '16A1', 'centralizer': '1.a1', 'counter': 98, 'group_counter': 1699, 'group_order': 1536, 'label': '16A-1', 'order': 16, 'powers': [58, 100], 'representative': 1445, 'size': 1}
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id: 8177469
{'aut_label': '16A1', 'centralizer': '1.a1', 'counter': 99, 'group_counter': 1699, 'group_order': 1536, 'label': '16A3', 'order': 16, 'powers': [59, 104], 'representative': 289, 'size': 1}
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id: 8175946
{'aut_label': '16A1', 'centralizer': '1.a1', 'counter': 100, 'group_counter': 1699, 'group_order': 1536, 'label': '16A-3', 'order': 16, 'powers': [60, 103], 'representative': 1255, 'size': 1}
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id: 8175957
{'aut_label': '16A1', 'centralizer': '1.a1', 'counter': 101, 'group_counter': 1699, 'group_order': 1536, 'label': '16A5', 'order': 16, 'powers': [60, 98], 'representative': 487, 'size': 1}
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id: 8175968
{'aut_label': '16A1', 'centralizer': '1.a1', 'counter': 102, 'group_counter': 1699, 'group_order': 1536, 'label': '16A-5', 'order': 16, 'powers': [59, 97], 'representative': 1057, 'size': 1}
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id: 8175979
{'aut_label': '16A1', 'centralizer': '1.a1', 'counter': 103, 'group_counter': 1699, 'group_order': 1536, 'label': '16A7', 'order': 16, 'powers': [58, 101], 'representative': 677, 'size': 1}
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id: 8175990
{'aut_label': '16A1', 'centralizer': '1.a1', 'counter': 104, 'group_counter': 1699, 'group_order': 1536, 'label': '16A-7', 'order': 16, 'powers': [57, 102], 'representative': 867, 'size': 1}
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id: 8176001
{'aut_label': '16A1', 'centralizer': '1.a1', 'counter': 105, 'group_counter': 1699, 'group_order': 1536, 'label': '16B1', 'order': 16, 'powers': [60, 107], 'representative': 483, 'size': 1}
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id: 8176012
{'aut_label': '16A1', 'centralizer': '1.a1', 'counter': 106, 'group_counter': 1699, 'group_order': 1536, 'label': '16B-1', 'order': 16, 'powers': [59, 108], 'representative': 1061, 'size': 1}
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id: 8176023
{'aut_label': '16A1', 'centralizer': '1.a1', 'counter': 107, 'group_counter': 1699, 'group_order': 1536, 'label': '16B3', 'order': 16, 'powers': [58, 112], 'representative': 1441, 'size': 1}
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id: 8176034
{'aut_label': '16A1', 'centralizer': '1.a1', 'counter': 108, 'group_counter': 1699, 'group_order': 1536, 'label': '16B-3', 'order': 16, 'powers': [57, 111], 'representative': 103, 'size': 1}
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id: 8176045
{'aut_label': '16A1', 'centralizer': '1.a1', 'counter': 109, 'group_counter': 1699, 'group_order': 1536, 'label': '16B5', 'order': 16, 'powers': [57, 106], 'representative': 871, 'size': 1}
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id: 8176057
{'aut_label': '16A1', 'centralizer': '1.a1', 'counter': 110, 'group_counter': 1699, 'group_order': 1536, 'label': '16B-5', 'order': 16, 'powers': [58, 105], 'representative': 673, 'size': 1}
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id: 8176068
{'aut_label': '16A1', 'centralizer': '1.a1', 'counter': 111, 'group_counter': 1699, 'group_order': 1536, 'label': '16B7', 'order': 16, 'powers': [59, 109], 'representative': 293, 'size': 1}
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id: 8176079
{'aut_label': '16A1', 'centralizer': '1.a1', 'counter': 112, 'group_counter': 1699, 'group_order': 1536, 'label': '16B-7', 'order': 16, 'powers': [60, 110], 'representative': 1251, 'size': 1}
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id: 8176090
{'aut_label': '16A1', 'centralizer': '1.a1', 'counter': 113, 'group_counter': 1699, 'group_order': 1536, 'label': '16C1', 'order': 16, 'powers': [61, 115], 'representative': 97, 'size': 1}
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id: 8176101
{'aut_label': '16A1', 'centralizer': '1.a1', 'counter': 114, 'group_counter': 1699, 'group_order': 1536, 'label': '16C-1', 'order': 16, 'powers': [62, 116], 'representative': 1447, 'size': 1}
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id: 8176112
{'aut_label': '16A1', 'centralizer': '1.a1', 'counter': 115, 'group_counter': 1699, 'group_order': 1536, 'label': '16C3', 'order': 16, 'powers': [63, 120], 'representative': 291, 'size': 1}
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id: 8176123
{'aut_label': '16A1', 'centralizer': '1.a1', 'counter': 116, 'group_counter': 1699, 'group_order': 1536, 'label': '16C-3', 'order': 16, 'powers': [64, 119], 'representative': 1253, 'size': 1}
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id: 8176134
{'aut_label': '16A1', 'centralizer': '1.a1', 'counter': 117, 'group_counter': 1699, 'group_order': 1536, 'label': '16C5', 'order': 16, 'powers': [64, 114], 'representative': 485, 'size': 1}
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id: 8176145
{'aut_label': '16A1', 'centralizer': '1.a1', 'counter': 118, 'group_counter': 1699, 'group_order': 1536, 'label': '16C-5', 'order': 16, 'powers': [63, 113], 'representative': 1059, 'size': 1}
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id: 8176156
{'aut_label': '16A1', 'centralizer': '1.a1', 'counter': 119, 'group_counter': 1699, 'group_order': 1536, 'label': '16C7', 'order': 16, 'powers': [62, 117], 'representative': 679, 'size': 1}
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id: 8176168
{'aut_label': '16A1', 'centralizer': '1.a1', 'counter': 120, 'group_counter': 1699, 'group_order': 1536, 'label': '16C-7', 'order': 16, 'powers': [61, 118], 'representative': 865, 'size': 1}
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id: 8176179
{'aut_label': '16A1', 'centralizer': '1.a1', 'counter': 121, 'group_counter': 1699, 'group_order': 1536, 'label': '16D1', 'order': 16, 'powers': [62, 123], 'representative': 675, 'size': 1}
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id: 8176190
{'aut_label': '16A1', 'centralizer': '1.a1', 'counter': 122, 'group_counter': 1699, 'group_order': 1536, 'label': '16D-1', 'order': 16, 'powers': [61, 124], 'representative': 869, 'size': 1}
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id: 8176201
{'aut_label': '16A1', 'centralizer': '1.a1', 'counter': 123, 'group_counter': 1699, 'group_order': 1536, 'label': '16D3', 'order': 16, 'powers': [64, 128], 'representative': 481, 'size': 1}
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id: 8176212
{'aut_label': '16A1', 'centralizer': '1.a1', 'counter': 124, 'group_counter': 1699, 'group_order': 1536, 'label': '16D-3', 'order': 16, 'powers': [63, 127], 'representative': 1063, 'size': 1}
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id: 8176223
{'aut_label': '16A1', 'centralizer': '1.a1', 'counter': 125, 'group_counter': 1699, 'group_order': 1536, 'label': '16D5', 'order': 16, 'powers': [63, 122], 'representative': 295, 'size': 1}
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id: 8176234
{'aut_label': '16A1', 'centralizer': '1.a1', 'counter': 126, 'group_counter': 1699, 'group_order': 1536, 'label': '16D-5', 'order': 16, 'powers': [64, 121], 'representative': 1249, 'size': 1}
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id: 8176245
{'aut_label': '16A1', 'centralizer': '1.a1', 'counter': 127, 'group_counter': 1699, 'group_order': 1536, 'label': '16D7', 'order': 16, 'powers': [61, 125], 'representative': 101, 'size': 1}
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id: 8176256
{'aut_label': '16A1', 'centralizer': '1.a1', 'counter': 128, 'group_counter': 1699, 'group_order': 1536, 'label': '16D-7', 'order': 16, 'powers': [62, 126], 'representative': 1443, 'size': 1}
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id: 8176267
{'aut_label': '16E1', 'centralizer': '1.a1', 'counter': 129, 'group_counter': 1699, 'group_order': 1536, 'label': '16E1', 'order': 16, 'powers': [65, 131], 'representative': 102, 'size': 1}
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id: 8176279
{'aut_label': '16E1', 'centralizer': '1.a1', 'counter': 130, 'group_counter': 1699, 'group_order': 1536, 'label': '16E-1', 'order': 16, 'powers': [66, 132], 'representative': 1442, 'size': 1}
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id: 8176290
{'aut_label': '16E1', 'centralizer': '1.a1', 'counter': 131, 'group_counter': 1699, 'group_order': 1536, 'label': '16E3', 'order': 16, 'powers': [67, 136], 'representative': 290, 'size': 1}
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id: 8176301
{'aut_label': '16E1', 'centralizer': '1.a1', 'counter': 132, 'group_counter': 1699, 'group_order': 1536, 'label': '16E-3', 'order': 16, 'powers': [68, 135], 'representative': 1254, 'size': 1}
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id: 8176312
{'aut_label': '16E1', 'centralizer': '1.a1', 'counter': 133, 'group_counter': 1699, 'group_order': 1536, 'label': '16E5', 'order': 16, 'powers': [68, 130], 'representative': 486, 'size': 1}
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id: 8176323
{'aut_label': '16E1', 'centralizer': '1.a1', 'counter': 134, 'group_counter': 1699, 'group_order': 1536, 'label': '16E-5', 'order': 16, 'powers': [67, 129], 'representative': 1058, 'size': 1}
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id: 8176334
{'aut_label': '16E1', 'centralizer': '1.a1', 'counter': 135, 'group_counter': 1699, 'group_order': 1536, 'label': '16E7', 'order': 16, 'powers': [66, 133], 'representative': 674, 'size': 1}
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id: 8176345
{'aut_label': '16E1', 'centralizer': '1.a1', 'counter': 136, 'group_counter': 1699, 'group_order': 1536, 'label': '16E-7', 'order': 16, 'powers': [65, 134], 'representative': 870, 'size': 1}
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id: 8176356
{'aut_label': '16E1', 'centralizer': '1.a1', 'counter': 137, 'group_counter': 1699, 'group_order': 1536, 'label': '16F1', 'order': 16, 'powers': [65, 139], 'representative': 98, 'size': 1}
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id: 8176367
{'aut_label': '16E1', 'centralizer': '1.a1', 'counter': 138, 'group_counter': 1699, 'group_order': 1536, 'label': '16F-1', 'order': 16, 'powers': [66, 140], 'representative': 1446, 'size': 1}
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id: 8176378
{'aut_label': '16E1', 'centralizer': '1.a1', 'counter': 139, 'group_counter': 1699, 'group_order': 1536, 'label': '16F3', 'order': 16, 'powers': [67, 144], 'representative': 294, 'size': 1}
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id: 8176390
{'aut_label': '16E1', 'centralizer': '1.a1', 'counter': 140, 'group_counter': 1699, 'group_order': 1536, 'label': '16F-3', 'order': 16, 'powers': [68, 143], 'representative': 1250, 'size': 1}
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id: 8176401
{'aut_label': '16E1', 'centralizer': '1.a1', 'counter': 141, 'group_counter': 1699, 'group_order': 1536, 'label': '16F5', 'order': 16, 'powers': [68, 138], 'representative': 482, 'size': 1}
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id: 8176412
{'aut_label': '16E1', 'centralizer': '1.a1', 'counter': 142, 'group_counter': 1699, 'group_order': 1536, 'label': '16F-5', 'order': 16, 'powers': [67, 137], 'representative': 1062, 'size': 1}
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id: 8176423
{'aut_label': '16E1', 'centralizer': '1.a1', 'counter': 143, 'group_counter': 1699, 'group_order': 1536, 'label': '16F7', 'order': 16, 'powers': [66, 141], 'representative': 678, 'size': 1}
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id: 8176434
{'aut_label': '16E1', 'centralizer': '1.a1', 'counter': 144, 'group_counter': 1699, 'group_order': 1536, 'label': '16F-7', 'order': 16, 'powers': [65, 142], 'representative': 866, 'size': 1}
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id: 8176445
{'aut_label': '16G1', 'centralizer': '1.a1', 'counter': 145, 'group_counter': 1699, 'group_order': 1536, 'label': '16G1', 'order': 16, 'powers': [69, 147], 'representative': 96, 'size': 1}
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id: 8176456
{'aut_label': '16G1', 'centralizer': '1.a1', 'counter': 146, 'group_counter': 1699, 'group_order': 1536, 'label': '16G-1', 'order': 16, 'powers': [70, 148], 'representative': 1440, 'size': 1}
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id: 8176467
{'aut_label': '16G1', 'centralizer': '1.a1', 'counter': 147, 'group_counter': 1699, 'group_order': 1536, 'label': '16G3', 'order': 16, 'powers': [71, 152], 'representative': 288, 'size': 1}
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id: 8176478
{'aut_label': '16G1', 'centralizer': '1.a1', 'counter': 148, 'group_counter': 1699, 'group_order': 1536, 'label': '16G-3', 'order': 16, 'powers': [72, 151], 'representative': 1248, 'size': 1}
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id: 8176489
{'aut_label': '16G1', 'centralizer': '1.a1', 'counter': 149, 'group_counter': 1699, 'group_order': 1536, 'label': '16G5', 'order': 16, 'powers': [72, 146], 'representative': 480, 'size': 1}
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id: 8176501
{'aut_label': '16G1', 'centralizer': '1.a1', 'counter': 150, 'group_counter': 1699, 'group_order': 1536, 'label': '16G-5', 'order': 16, 'powers': [71, 145], 'representative': 1056, 'size': 1}
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id: 8176512
{'aut_label': '16G1', 'centralizer': '1.a1', 'counter': 151, 'group_counter': 1699, 'group_order': 1536, 'label': '16G7', 'order': 16, 'powers': [70, 149], 'representative': 672, 'size': 1}
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id: 8176523
{'aut_label': '16G1', 'centralizer': '1.a1', 'counter': 152, 'group_counter': 1699, 'group_order': 1536, 'label': '16G-7', 'order': 16, 'powers': [69, 150], 'representative': 864, 'size': 1}
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id: 8176534
{'aut_label': '16G1', 'centralizer': '1.a1', 'counter': 153, 'group_counter': 1699, 'group_order': 1536, 'label': '16H1', 'order': 16, 'powers': [69, 155], 'representative': 100, 'size': 1}
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id: 8176542
{'aut_label': '16G1', 'centralizer': '1.a1', 'counter': 154, 'group_counter': 1699, 'group_order': 1536, 'label': '16H-1', 'order': 16, 'powers': [70, 156], 'representative': 1444, 'size': 1}
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id: 8176543
{'aut_label': '16G1', 'centralizer': '1.a1', 'counter': 155, 'group_counter': 1699, 'group_order': 1536, 'label': '16H3', 'order': 16, 'powers': [71, 160], 'representative': 292, 'size': 1}
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id: 8176544
{'aut_label': '16G1', 'centralizer': '1.a1', 'counter': 156, 'group_counter': 1699, 'group_order': 1536, 'label': '16H-3', 'order': 16, 'powers': [72, 159], 'representative': 1252, 'size': 1}
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id: 8176545
{'aut_label': '16G1', 'centralizer': '1.a1', 'counter': 157, 'group_counter': 1699, 'group_order': 1536, 'label': '16H5', 'order': 16, 'powers': [72, 154], 'representative': 484, 'size': 1}
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id: 8176546
{'aut_label': '16G1', 'centralizer': '1.a1', 'counter': 158, 'group_counter': 1699, 'group_order': 1536, 'label': '16H-5', 'order': 16, 'powers': [71, 153], 'representative': 1060, 'size': 1}
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id: 8176547
{'aut_label': '16G1', 'centralizer': '1.a1', 'counter': 159, 'group_counter': 1699, 'group_order': 1536, 'label': '16H7', 'order': 16, 'powers': [70, 157], 'representative': 676, 'size': 1}
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id: 8176549
{'aut_label': '16G1', 'centralizer': '1.a1', 'counter': 160, 'group_counter': 1699, 'group_order': 1536, 'label': '16H-7', 'order': 16, 'powers': [69, 158], 'representative': 868, 'size': 1}
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id: 8176550
{'aut_label': '24A1', 'centralizer': '1.a1', 'counter': 161, 'group_counter': 1699, 'group_order': 1536, 'label': '24A1', 'order': 24, 'powers': [73, 25], 'representative': 513, 'size': 1}
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id: 8176551
{'aut_label': '24A1', 'centralizer': '1.a1', 'counter': 162, 'group_counter': 1699, 'group_order': 1536, 'label': '24A-1', 'order': 24, 'powers': [74, 26], 'representative': 1031, 'size': 1}
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id: 8176552
{'aut_label': '24A1', 'centralizer': '1.a1', 'counter': 163, 'group_counter': 1699, 'group_order': 1536, 'label': '24A5', 'order': 24, 'powers': [75, 28], 'representative': 1029, 'size': 1}
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id: 8176553
{'aut_label': '24A1', 'centralizer': '1.a1', 'counter': 164, 'group_counter': 1699, 'group_order': 1536, 'label': '24A-5', 'order': 24, 'powers': [76, 27], 'representative': 515, 'size': 1}
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id: 8176554
{'aut_label': '24A1', 'centralizer': '1.a1', 'counter': 165, 'group_counter': 1699, 'group_order': 1536, 'label': '24A7', 'order': 24, 'powers': [76, 26], 'representative': 519, 'size': 1}
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id: 8176555
{'aut_label': '24A1', 'centralizer': '1.a1', 'counter': 166, 'group_counter': 1699, 'group_order': 1536, 'label': '24A-7', 'order': 24, 'powers': [75, 25], 'representative': 1025, 'size': 1}
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id: 8176556
{'aut_label': '24A1', 'centralizer': '1.a1', 'counter': 167, 'group_counter': 1699, 'group_order': 1536, 'label': '24A11', 'order': 24, 'powers': [74, 27], 'representative': 1027, 'size': 1}
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id: 8176557
{'aut_label': '24A1', 'centralizer': '1.a1', 'counter': 168, 'group_counter': 1699, 'group_order': 1536, 'label': '24A-11', 'order': 24, 'powers': [73, 28], 'representative': 517, 'size': 1}
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id: 8176558
{'aut_label': '24A1', 'centralizer': '1.a1', 'counter': 169, 'group_counter': 1699, 'group_order': 1536, 'label': '24B1', 'order': 24, 'powers': [75, 29], 'representative': 257, 'size': 1}
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id: 8176560
{'aut_label': '24A1', 'centralizer': '1.a1', 'counter': 170, 'group_counter': 1699, 'group_order': 1536, 'label': '24B-1', 'order': 24, 'powers': [76, 30], 'representative': 1287, 'size': 1}
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id: 8176561
{'aut_label': '24A1', 'centralizer': '1.a1', 'counter': 171, 'group_counter': 1699, 'group_order': 1536, 'label': '24B5', 'order': 24, 'powers': [73, 32], 'representative': 1285, 'size': 1}
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id: 8176562
{'aut_label': '24A1', 'centralizer': '1.a1', 'counter': 172, 'group_counter': 1699, 'group_order': 1536, 'label': '24B-5', 'order': 24, 'powers': [74, 31], 'representative': 259, 'size': 1}
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id: 8176563
{'aut_label': '24A1', 'centralizer': '1.a1', 'counter': 173, 'group_counter': 1699, 'group_order': 1536, 'label': '24B7', 'order': 24, 'powers': [74, 30], 'representative': 263, 'size': 1}
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id: 8176564
{'aut_label': '24A1', 'centralizer': '1.a1', 'counter': 174, 'group_counter': 1699, 'group_order': 1536, 'label': '24B-7', 'order': 24, 'powers': [73, 29], 'representative': 1281, 'size': 1}
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id: 8176565
{'aut_label': '24A1', 'centralizer': '1.a1', 'counter': 175, 'group_counter': 1699, 'group_order': 1536, 'label': '24B11', 'order': 24, 'powers': [76, 31], 'representative': 1283, 'size': 1}
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id: 8176566
{'aut_label': '24A1', 'centralizer': '1.a1', 'counter': 176, 'group_counter': 1699, 'group_order': 1536, 'label': '24B-11', 'order': 24, 'powers': [75, 32], 'representative': 261, 'size': 1}
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id: 8176567
{'aut_label': '24A1', 'centralizer': '1.a1', 'counter': 177, 'group_counter': 1699, 'group_order': 1536, 'label': '24C1', 'order': 24, 'powers': [77, 33], 'representative': 129, 'size': 1}
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id: 8176568
{'aut_label': '24A1', 'centralizer': '1.a1', 'counter': 178, 'group_counter': 1699, 'group_order': 1536, 'label': '24C-1', 'order': 24, 'powers': [78, 34], 'representative': 1415, 'size': 1}
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id: 8176569
{'aut_label': '24A1', 'centralizer': '1.a1', 'counter': 179, 'group_counter': 1699, 'group_order': 1536, 'label': '24C5', 'order': 24, 'powers': [79, 36], 'representative': 645, 'size': 1}
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id: 8176571
{'aut_label': '24A1', 'centralizer': '1.a1', 'counter': 180, 'group_counter': 1699, 'group_order': 1536, 'label': '24C-5', 'order': 24, 'powers': [80, 35], 'representative': 899, 'size': 1}
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id: 8176572
{'aut_label': '24A1', 'centralizer': '1.a1', 'counter': 181, 'group_counter': 1699, 'group_order': 1536, 'label': '24C7', 'order': 24, 'powers': [80, 34], 'representative': 903, 'size': 1}
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id: 8176573
{'aut_label': '24A1', 'centralizer': '1.a1', 'counter': 182, 'group_counter': 1699, 'group_order': 1536, 'label': '24C-7', 'order': 24, 'powers': [79, 33], 'representative': 641, 'size': 1}
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id: 8176574
{'aut_label': '24A1', 'centralizer': '1.a1', 'counter': 183, 'group_counter': 1699, 'group_order': 1536, 'label': '24C11', 'order': 24, 'powers': [78, 35], 'representative': 1411, 'size': 1}
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id: 8176575
{'aut_label': '24A1', 'centralizer': '1.a1', 'counter': 184, 'group_counter': 1699, 'group_order': 1536, 'label': '24C-11', 'order': 24, 'powers': [77, 36], 'representative': 133, 'size': 1}
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id: 8176576
{'aut_label': '24A1', 'centralizer': '1.a1', 'counter': 185, 'group_counter': 1699, 'group_order': 1536, 'label': '24D1', 'order': 24, 'powers': [81, 37], 'representative': 65, 'size': 1}
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id: 8176577
{'aut_label': '24A1', 'centralizer': '1.a1', 'counter': 186, 'group_counter': 1699, 'group_order': 1536, 'label': '24D-1', 'order': 24, 'powers': [82, 38], 'representative': 1479, 'size': 1}
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id: 8176578
{'aut_label': '24A1', 'centralizer': '1.a1', 'counter': 187, 'group_counter': 1699, 'group_order': 1536, 'label': '24D5', 'order': 24, 'powers': [83, 40], 'representative': 325, 'size': 1}
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id: 8176579
{'aut_label': '24A1', 'centralizer': '1.a1', 'counter': 188, 'group_counter': 1699, 'group_order': 1536, 'label': '24D-5', 'order': 24, 'powers': [84, 39], 'representative': 1219, 'size': 1}
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id: 8176580
{'aut_label': '24A1', 'centralizer': '1.a1', 'counter': 189, 'group_counter': 1699, 'group_order': 1536, 'label': '24D7', 'order': 24, 'powers': [84, 38], 'representative': 455, 'size': 1}
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id: 8176582
{'aut_label': '24A1', 'centralizer': '1.a1', 'counter': 190, 'group_counter': 1699, 'group_order': 1536, 'label': '24D-7', 'order': 24, 'powers': [83, 37], 'representative': 1089, 'size': 1}
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id: 8176583
{'aut_label': '24A1', 'centralizer': '1.a1', 'counter': 191, 'group_counter': 1699, 'group_order': 1536, 'label': '24D11', 'order': 24, 'powers': [82, 39], 'representative': 707, 'size': 1}
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id: 8176584
{'aut_label': '24A1', 'centralizer': '1.a1', 'counter': 192, 'group_counter': 1699, 'group_order': 1536, 'label': '24D-11', 'order': 24, 'powers': [81, 40], 'representative': 837, 'size': 1}
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id: 8176585
{'aut_label': '24A1', 'centralizer': '1.a1', 'counter': 193, 'group_counter': 1699, 'group_order': 1536, 'label': '24E1', 'order': 24, 'powers': [83, 41], 'representative': 321, 'size': 1}
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id: 8176586
{'aut_label': '24A1', 'centralizer': '1.a1', 'counter': 194, 'group_counter': 1699, 'group_order': 1536, 'label': '24E-1', 'order': 24, 'powers': [84, 42], 'representative': 1223, 'size': 1}
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id: 8176587
{'aut_label': '24A1', 'centralizer': '1.a1', 'counter': 195, 'group_counter': 1699, 'group_order': 1536, 'label': '24E5', 'order': 24, 'powers': [81, 44], 'representative': 69, 'size': 1}
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id: 8176588
{'aut_label': '24A1', 'centralizer': '1.a1', 'counter': 196, 'group_counter': 1699, 'group_order': 1536, 'label': '24E-5', 'order': 24, 'powers': [82, 43], 'representative': 1475, 'size': 1}
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id: 8176589
{'aut_label': '24A1', 'centralizer': '1.a1', 'counter': 197, 'group_counter': 1699, 'group_order': 1536, 'label': '24E7', 'order': 24, 'powers': [82, 42], 'representative': 711, 'size': 1}
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id: 8176590
{'aut_label': '24A1', 'centralizer': '1.a1', 'counter': 198, 'group_counter': 1699, 'group_order': 1536, 'label': '24E-7', 'order': 24, 'powers': [81, 41], 'representative': 833, 'size': 1}
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id: 8176591
{'aut_label': '24A1', 'centralizer': '1.a1', 'counter': 199, 'group_counter': 1699, 'group_order': 1536, 'label': '24E11', 'order': 24, 'powers': [84, 43], 'representative': 451, 'size': 1}
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id: 8176594
{'aut_label': '24A1', 'centralizer': '1.a1', 'counter': 200, 'group_counter': 1699, 'group_order': 1536, 'label': '24E-11', 'order': 24, 'powers': [83, 44], 'representative': 1093, 'size': 1}
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id: 8176595
{'aut_label': '24A1', 'centralizer': '1.a1', 'counter': 201, 'group_counter': 1699, 'group_order': 1536, 'label': '24F1', 'order': 24, 'powers': [80, 45], 'representative': 131, 'size': 1}
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id: 8176596
{'aut_label': '24A1', 'centralizer': '1.a1', 'counter': 202, 'group_counter': 1699, 'group_order': 1536, 'label': '24F-1', 'order': 24, 'powers': [79, 46], 'representative': 1413, 'size': 1}
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id: 8176597
{'aut_label': '24A1', 'centralizer': '1.a1', 'counter': 203, 'group_counter': 1699, 'group_order': 1536, 'label': '24F5', 'order': 24, 'powers': [78, 48], 'representative': 647, 'size': 1}
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id: 8176598
{'aut_label': '24A1', 'centralizer': '1.a1', 'counter': 204, 'group_counter': 1699, 'group_order': 1536, 'label': '24F-5', 'order': 24, 'powers': [77, 47], 'representative': 897, 'size': 1}
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id: 8176599
{'aut_label': '24A1', 'centralizer': '1.a1', 'counter': 205, 'group_counter': 1699, 'group_order': 1536, 'label': '24F7', 'order': 24, 'powers': [77, 46], 'representative': 901, 'size': 1}
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id: 8176600
{'aut_label': '24A1', 'centralizer': '1.a1', 'counter': 206, 'group_counter': 1699, 'group_order': 1536, 'label': '24F-7', 'order': 24, 'powers': [78, 45], 'representative': 643, 'size': 1}
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id: 8176601
{'aut_label': '24A1', 'centralizer': '1.a1', 'counter': 207, 'group_counter': 1699, 'group_order': 1536, 'label': '24F11', 'order': 24, 'powers': [79, 47], 'representative': 1409, 'size': 1}
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id: 8176602
{'aut_label': '24A1', 'centralizer': '1.a1', 'counter': 208, 'group_counter': 1699, 'group_order': 1536, 'label': '24F-11', 'order': 24, 'powers': [80, 48], 'representative': 135, 'size': 1}
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id: 8176603
{'aut_label': '24A1', 'centralizer': '1.a1', 'counter': 209, 'group_counter': 1699, 'group_order': 1536, 'label': '24G1', 'order': 24, 'powers': [85, 49], 'representative': 67, 'size': 1}
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id: 8176605
{'aut_label': '24A1', 'centralizer': '1.a1', 'counter': 210, 'group_counter': 1699, 'group_order': 1536, 'label': '24G-1', 'order': 24, 'powers': [86, 50], 'representative': 1477, 'size': 1}
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id: 8176606
{'aut_label': '24A1', 'centralizer': '1.a1', 'counter': 211, 'group_counter': 1699, 'group_order': 1536, 'label': '24G5', 'order': 24, 'powers': [87, 52], 'representative': 327, 'size': 1}
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id: 8176607
{'aut_label': '24A1', 'centralizer': '1.a1', 'counter': 212, 'group_counter': 1699, 'group_order': 1536, 'label': '24G-5', 'order': 24, 'powers': [88, 51], 'representative': 1217, 'size': 1}
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id: 8176608
{'aut_label': '24A1', 'centralizer': '1.a1', 'counter': 213, 'group_counter': 1699, 'group_order': 1536, 'label': '24G7', 'order': 24, 'powers': [88, 50], 'representative': 453, 'size': 1}
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id: 8176609
{'aut_label': '24A1', 'centralizer': '1.a1', 'counter': 214, 'group_counter': 1699, 'group_order': 1536, 'label': '24G-7', 'order': 24, 'powers': [87, 49], 'representative': 1091, 'size': 1}
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id: 8176610
{'aut_label': '24A1', 'centralizer': '1.a1', 'counter': 215, 'group_counter': 1699, 'group_order': 1536, 'label': '24G11', 'order': 24, 'powers': [86, 51], 'representative': 705, 'size': 1}
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id: 8176611
{'aut_label': '24A1', 'centralizer': '1.a1', 'counter': 216, 'group_counter': 1699, 'group_order': 1536, 'label': '24G-11', 'order': 24, 'powers': [85, 52], 'representative': 839, 'size': 1}
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id: 8176612
{'aut_label': '24A1', 'centralizer': '1.a1', 'counter': 217, 'group_counter': 1699, 'group_order': 1536, 'label': '24H1', 'order': 24, 'powers': [88, 53], 'representative': 449, 'size': 1}
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id: 8176613
{'aut_label': '24A1', 'centralizer': '1.a1', 'counter': 218, 'group_counter': 1699, 'group_order': 1536, 'label': '24H-1', 'order': 24, 'powers': [87, 54], 'representative': 1095, 'size': 1}
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id: 8176614
{'aut_label': '24A1', 'centralizer': '1.a1', 'counter': 219, 'group_counter': 1699, 'group_order': 1536, 'label': '24H5', 'order': 24, 'powers': [86, 56], 'representative': 709, 'size': 1}
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id: 8176616
{'aut_label': '24A1', 'centralizer': '1.a1', 'counter': 220, 'group_counter': 1699, 'group_order': 1536, 'label': '24H-5', 'order': 24, 'powers': [85, 55], 'representative': 835, 'size': 1}
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id: 8176617
{'aut_label': '24A1', 'centralizer': '1.a1', 'counter': 221, 'group_counter': 1699, 'group_order': 1536, 'label': '24H7', 'order': 24, 'powers': [85, 54], 'representative': 71, 'size': 1}
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id: 8176618
{'aut_label': '24A1', 'centralizer': '1.a1', 'counter': 222, 'group_counter': 1699, 'group_order': 1536, 'label': '24H-7', 'order': 24, 'powers': [86, 53], 'representative': 1473, 'size': 1}
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id: 8176619
{'aut_label': '24A1', 'centralizer': '1.a1', 'counter': 223, 'group_counter': 1699, 'group_order': 1536, 'label': '24H11', 'order': 24, 'powers': [87, 55], 'representative': 323, 'size': 1}
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id: 8176620
{'aut_label': '24A1', 'centralizer': '1.a1', 'counter': 224, 'group_counter': 1699, 'group_order': 1536, 'label': '24H-11', 'order': 24, 'powers': [88, 56], 'representative': 1221, 'size': 1}
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id: 8176621
{'aut_label': '24I1', 'centralizer': '1.a1', 'counter': 225, 'group_counter': 1699, 'group_order': 1536, 'label': '24I1', 'order': 24, 'powers': [89, 57], 'representative': 66, 'size': 1}
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id: 8176622
{'aut_label': '24I1', 'centralizer': '1.a1', 'counter': 226, 'group_counter': 1699, 'group_order': 1536, 'label': '24I-1', 'order': 24, 'powers': [90, 58], 'representative': 1478, 'size': 1}
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id: 8176623
{'aut_label': '24I1', 'centralizer': '1.a1', 'counter': 227, 'group_counter': 1699, 'group_order': 1536, 'label': '24I5', 'order': 24, 'powers': [91, 60], 'representative': 322, 'size': 1}
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id: 8176624
{'aut_label': '24I1', 'centralizer': '1.a1', 'counter': 228, 'group_counter': 1699, 'group_order': 1536, 'label': '24I-5', 'order': 24, 'powers': [92, 59], 'representative': 1222, 'size': 1}
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id: 8176625
{'aut_label': '24I1', 'centralizer': '1.a1', 'counter': 229, 'group_counter': 1699, 'group_order': 1536, 'label': '24I7', 'order': 24, 'powers': [92, 58], 'representative': 454, 'size': 1}
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id: 8176627
{'aut_label': '24I1', 'centralizer': '1.a1', 'counter': 230, 'group_counter': 1699, 'group_order': 1536, 'label': '24I-7', 'order': 24, 'powers': [91, 57], 'representative': 1090, 'size': 1}
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id: 8176628
{'aut_label': '24I1', 'centralizer': '1.a1', 'counter': 231, 'group_counter': 1699, 'group_order': 1536, 'label': '24I11', 'order': 24, 'powers': [90, 59], 'representative': 710, 'size': 1}
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id: 8176629
{'aut_label': '24I1', 'centralizer': '1.a1', 'counter': 232, 'group_counter': 1699, 'group_order': 1536, 'label': '24I-11', 'order': 24, 'powers': [89, 60], 'representative': 834, 'size': 1}
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id: 8176630
{'aut_label': '24I1', 'centralizer': '1.a1', 'counter': 233, 'group_counter': 1699, 'group_order': 1536, 'label': '24J1', 'order': 24, 'powers': [89, 61], 'representative': 70, 'size': 1}
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id: 8176631
{'aut_label': '24I1', 'centralizer': '1.a1', 'counter': 234, 'group_counter': 1699, 'group_order': 1536, 'label': '24J-1', 'order': 24, 'powers': [90, 62], 'representative': 1474, 'size': 1}
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id: 8176632
{'aut_label': '24I1', 'centralizer': '1.a1', 'counter': 235, 'group_counter': 1699, 'group_order': 1536, 'label': '24J5', 'order': 24, 'powers': [91, 64], 'representative': 326, 'size': 1}
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id: 8176633
{'aut_label': '24I1', 'centralizer': '1.a1', 'counter': 236, 'group_counter': 1699, 'group_order': 1536, 'label': '24J-5', 'order': 24, 'powers': [92, 63], 'representative': 1218, 'size': 1}
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id: 8176634
{'aut_label': '24I1', 'centralizer': '1.a1', 'counter': 237, 'group_counter': 1699, 'group_order': 1536, 'label': '24J7', 'order': 24, 'powers': [92, 62], 'representative': 450, 'size': 1}
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id: 8176635
{'aut_label': '24I1', 'centralizer': '1.a1', 'counter': 238, 'group_counter': 1699, 'group_order': 1536, 'label': '24J-7', 'order': 24, 'powers': [91, 61], 'representative': 1094, 'size': 1}
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id: 8176636
{'aut_label': '24I1', 'centralizer': '1.a1', 'counter': 239, 'group_counter': 1699, 'group_order': 1536, 'label': '24J11', 'order': 24, 'powers': [90, 63], 'representative': 706, 'size': 1}
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id: 8176638
{'aut_label': '24I1', 'centralizer': '1.a1', 'counter': 240, 'group_counter': 1699, 'group_order': 1536, 'label': '24J-11', 'order': 24, 'powers': [89, 64], 'representative': 838, 'size': 1}
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id: 8176639
{'aut_label': '24K1', 'centralizer': '1.a1', 'counter': 241, 'group_counter': 1699, 'group_order': 1536, 'label': '24K1', 'order': 24, 'powers': [93, 65], 'representative': 68, 'size': 1}
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id: 8176640
{'aut_label': '24K1', 'centralizer': '1.a1', 'counter': 242, 'group_counter': 1699, 'group_order': 1536, 'label': '24K-1', 'order': 24, 'powers': [94, 66], 'representative': 1476, 'size': 1}
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id: 8176641
{'aut_label': '24K1', 'centralizer': '1.a1', 'counter': 243, 'group_counter': 1699, 'group_order': 1536, 'label': '24K5', 'order': 24, 'powers': [95, 68], 'representative': 324, 'size': 1}
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id: 8176642
{'aut_label': '24K1', 'centralizer': '1.a1', 'counter': 244, 'group_counter': 1699, 'group_order': 1536, 'label': '24K-5', 'order': 24, 'powers': [96, 67], 'representative': 1220, 'size': 1}
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id: 8176643
{'aut_label': '24K1', 'centralizer': '1.a1', 'counter': 245, 'group_counter': 1699, 'group_order': 1536, 'label': '24K7', 'order': 24, 'powers': [96, 66], 'representative': 452, 'size': 1}
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id: 8176644
{'aut_label': '24K1', 'centralizer': '1.a1', 'counter': 246, 'group_counter': 1699, 'group_order': 1536, 'label': '24K-7', 'order': 24, 'powers': [95, 65], 'representative': 1092, 'size': 1}
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id: 8176645
{'aut_label': '24K1', 'centralizer': '1.a1', 'counter': 247, 'group_counter': 1699, 'group_order': 1536, 'label': '24K11', 'order': 24, 'powers': [94, 67], 'representative': 708, 'size': 1}
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id: 8176646
{'aut_label': '24K1', 'centralizer': '1.a1', 'counter': 248, 'group_counter': 1699, 'group_order': 1536, 'label': '24K-11', 'order': 24, 'powers': [93, 68], 'representative': 836, 'size': 1}
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id: 8176647
{'aut_label': '24L1', 'centralizer': '1.a1', 'counter': 249, 'group_counter': 1699, 'group_order': 1536, 'label': '24L1', 'order': 24, 'powers': [93, 69], 'representative': 64, 'size': 1}
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id: 8176649
{'aut_label': '24L1', 'centralizer': '1.a1', 'counter': 250, 'group_counter': 1699, 'group_order': 1536, 'label': '24L-1', 'order': 24, 'powers': [94, 70], 'representative': 1472, 'size': 1}
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id: 8176650
{'aut_label': '24L1', 'centralizer': '1.a1', 'counter': 251, 'group_counter': 1699, 'group_order': 1536, 'label': '24L5', 'order': 24, 'powers': [95, 72], 'representative': 320, 'size': 1}
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id: 8176651
{'aut_label': '24L1', 'centralizer': '1.a1', 'counter': 252, 'group_counter': 1699, 'group_order': 1536, 'label': '24L-5', 'order': 24, 'powers': [96, 71], 'representative': 1216, 'size': 1}
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id: 8176652
{'aut_label': '24L1', 'centralizer': '1.a1', 'counter': 253, 'group_counter': 1699, 'group_order': 1536, 'label': '24L7', 'order': 24, 'powers': [96, 70], 'representative': 448, 'size': 1}
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id: 8176653
{'aut_label': '24L1', 'centralizer': '1.a1', 'counter': 254, 'group_counter': 1699, 'group_order': 1536, 'label': '24L-7', 'order': 24, 'powers': [95, 69], 'representative': 1088, 'size': 1}
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id: 8176654
{'aut_label': '24L1', 'centralizer': '1.a1', 'counter': 255, 'group_counter': 1699, 'group_order': 1536, 'label': '24L11', 'order': 24, 'powers': [94, 71], 'representative': 704, 'size': 1}
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id: 8176655
{'aut_label': '24L1', 'centralizer': '1.a1', 'counter': 256, 'group_counter': 1699, 'group_order': 1536, 'label': '24L-11', 'order': 24, 'powers': [93, 72], 'representative': 832, 'size': 1}
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id: 8176656
{'aut_label': '32A1', 'centralizer': '1.a1', 'counter': 257, 'group_counter': 1699, 'group_order': 1536, 'label': '32A1', 'order': 32, 'powers': [129, 259], 'representative': 51, 'size': 1}
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id: 8176657
{'aut_label': '32A1', 'centralizer': '1.a1', 'counter': 258, 'group_counter': 1699, 'group_order': 1536, 'label': '32A-1', 'order': 32, 'powers': [130, 260], 'representative': 1493, 'size': 1}
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id: 8176658
{'aut_label': '32A1', 'centralizer': '1.a1', 'counter': 259, 'group_counter': 1699, 'group_order': 1536, 'label': '32A3', 'order': 32, 'powers': [131, 265], 'representative': 145, 'size': 1}
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id: 8176660
{'aut_label': '32A1', 'centralizer': '1.a1', 'counter': 260, 'group_counter': 1699, 'group_order': 1536, 'label': '32A-3', 'order': 32, 'powers': [132, 266], 'representative': 1399, 'size': 1}
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id: 8176661
{'aut_label': '32A1', 'centralizer': '1.a1', 'counter': 261, 'group_counter': 1699, 'group_order': 1536, 'label': '32A5', 'order': 32, 'powers': [133, 271], 'representative': 247, 'size': 1}
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id: 8176662
{'aut_label': '32A1', 'centralizer': '1.a1', 'counter': 262, 'group_counter': 1699, 'group_order': 1536, 'label': '32A-5', 'order': 32, 'powers': [134, 272], 'representative': 1297, 'size': 1}
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id: 8176663
{'aut_label': '32A1', 'centralizer': '1.a1', 'counter': 263, 'group_counter': 1699, 'group_order': 1536, 'label': '32A7', 'order': 32, 'powers': [135, 268], 'representative': 341, 'size': 1}
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id: 8176664
{'aut_label': '32A1', 'centralizer': '1.a1', 'counter': 264, 'group_counter': 1699, 'group_order': 1536, 'label': '32A-7', 'order': 32, 'powers': [136, 267], 'representative': 1203, 'size': 1}
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id: 8176665
{'aut_label': '32A1', 'centralizer': '1.a1', 'counter': 265, 'group_counter': 1699, 'group_order': 1536, 'label': '32A9', 'order': 32, 'powers': [136, 262], 'representative': 435, 'size': 1}
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id: 8176666
{'aut_label': '32A1', 'centralizer': '1.a1', 'counter': 266, 'group_counter': 1699, 'group_order': 1536, 'label': '32A-9', 'order': 32, 'powers': [135, 261], 'representative': 1109, 'size': 1}
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id: 8176667
{'aut_label': '32A1', 'centralizer': '1.a1', 'counter': 267, 'group_counter': 1699, 'group_order': 1536, 'label': '32A11', 'order': 32, 'powers': [134, 257], 'representative': 529, 'size': 1}
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id: 8176668
{'aut_label': '32A1', 'centralizer': '1.a1', 'counter': 268, 'group_counter': 1699, 'group_order': 1536, 'label': '32A-11', 'order': 32, 'powers': [133, 258], 'representative': 1015, 'size': 1}
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id: 8176669
{'aut_label': '32A1', 'centralizer': '1.a1', 'counter': 269, 'group_counter': 1699, 'group_order': 1536, 'label': '32A13', 'order': 32, 'powers': [132, 263], 'representative': 631, 'size': 1}
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id: 8176671
{'aut_label': '32A1', 'centralizer': '1.a1', 'counter': 270, 'group_counter': 1699, 'group_order': 1536, 'label': '32A-13', 'order': 32, 'powers': [131, 264], 'representative': 913, 'size': 1}
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id: 8176672
{'aut_label': '32A1', 'centralizer': '1.a1', 'counter': 271, 'group_counter': 1699, 'group_order': 1536, 'label': '32A15', 'order': 32, 'powers': [130, 269], 'representative': 725, 'size': 1}
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id: 8176673
{'aut_label': '32A1', 'centralizer': '1.a1', 'counter': 272, 'group_counter': 1699, 'group_order': 1536, 'label': '32A-15', 'order': 32, 'powers': [129, 270], 'representative': 819, 'size': 1}
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id: 8176674
{'aut_label': '32A1', 'centralizer': '1.a1', 'counter': 273, 'group_counter': 1699, 'group_order': 1536, 'label': '32B1', 'order': 32, 'powers': [133, 275], 'representative': 243, 'size': 1}
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id: 8176675
{'aut_label': '32A1', 'centralizer': '1.a1', 'counter': 274, 'group_counter': 1699, 'group_order': 1536, 'label': '32B-1', 'order': 32, 'powers': [134, 276], 'representative': 1301, 'size': 1}
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id: 8176676
{'aut_label': '32A1', 'centralizer': '1.a1', 'counter': 275, 'group_counter': 1699, 'group_order': 1536, 'label': '32B3', 'order': 32, 'powers': [130, 281], 'representative': 721, 'size': 1}
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id: 8176677
{'aut_label': '32A1', 'centralizer': '1.a1', 'counter': 276, 'group_counter': 1699, 'group_order': 1536, 'label': '32B-3', 'order': 32, 'powers': [129, 282], 'representative': 823, 'size': 1}
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id: 8176678
{'aut_label': '32A1', 'centralizer': '1.a1', 'counter': 277, 'group_counter': 1699, 'group_order': 1536, 'label': '32B5', 'order': 32, 'powers': [136, 287], 'representative': 1207, 'size': 1}
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id: 8176679
{'aut_label': '32A1', 'centralizer': '1.a1', 'counter': 278, 'group_counter': 1699, 'group_order': 1536, 'label': '32B-5', 'order': 32, 'powers': [135, 288], 'representative': 337, 'size': 1}
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id: 8176680
{'aut_label': '32A1', 'centralizer': '1.a1', 'counter': 279, 'group_counter': 1699, 'group_order': 1536, 'label': '32B7', 'order': 32, 'powers': [131, 284], 'representative': 149, 'size': 1}
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id: 8176682
{'aut_label': '32A1', 'centralizer': '1.a1', 'counter': 280, 'group_counter': 1699, 'group_order': 1536, 'label': '32B-7', 'order': 32, 'powers': [132, 283], 'representative': 1395, 'size': 1}
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id: 8176683
{'aut_label': '32A1', 'centralizer': '1.a1', 'counter': 281, 'group_counter': 1699, 'group_order': 1536, 'label': '32B9', 'order': 32, 'powers': [132, 278], 'representative': 627, 'size': 1}
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id: 8176684
{'aut_label': '32A1', 'centralizer': '1.a1', 'counter': 282, 'group_counter': 1699, 'group_order': 1536, 'label': '32B-9', 'order': 32, 'powers': [131, 277], 'representative': 917, 'size': 1}
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id: 8176685
{'aut_label': '32A1', 'centralizer': '1.a1', 'counter': 283, 'group_counter': 1699, 'group_order': 1536, 'label': '32B11', 'order': 32, 'powers': [135, 273], 'representative': 1105, 'size': 1}
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id: 8176686
{'aut_label': '32A1', 'centralizer': '1.a1', 'counter': 284, 'group_counter': 1699, 'group_order': 1536, 'label': '32B-11', 'order': 32, 'powers': [136, 274], 'representative': 439, 'size': 1}
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id: 8176687
{'aut_label': '32A1', 'centralizer': '1.a1', 'counter': 285, 'group_counter': 1699, 'group_order': 1536, 'label': '32B13', 'order': 32, 'powers': [129, 279], 'representative': 55, 'size': 1}
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id: 8176688
{'aut_label': '32A1', 'centralizer': '1.a1', 'counter': 286, 'group_counter': 1699, 'group_order': 1536, 'label': '32B-13', 'order': 32, 'powers': [130, 280], 'representative': 1489, 'size': 1}
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id: 8176689
{'aut_label': '32A1', 'centralizer': '1.a1', 'counter': 287, 'group_counter': 1699, 'group_order': 1536, 'label': '32B15', 'order': 32, 'powers': [134, 285], 'representative': 533, 'size': 1}
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id: 8176690
{'aut_label': '32A1', 'centralizer': '1.a1', 'counter': 288, 'group_counter': 1699, 'group_order': 1536, 'label': '32B-15', 'order': 32, 'powers': [133, 286], 'representative': 1011, 'size': 1}
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id: 8176691
{'aut_label': '32A1', 'centralizer': '1.a1', 'counter': 289, 'group_counter': 1699, 'group_order': 1536, 'label': '32C1', 'order': 32, 'powers': [137, 291], 'representative': 49, 'size': 1}
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id: 8176693
{'aut_label': '32A1', 'centralizer': '1.a1', 'counter': 290, 'group_counter': 1699, 'group_order': 1536, 'label': '32C-1', 'order': 32, 'powers': [138, 292], 'representative': 1495, 'size': 1}
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id: 8176694
{'aut_label': '32A1', 'centralizer': '1.a1', 'counter': 291, 'group_counter': 1699, 'group_order': 1536, 'label': '32C3', 'order': 32, 'powers': [139, 297], 'representative': 147, 'size': 1}
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id: 8176695
{'aut_label': '32A1', 'centralizer': '1.a1', 'counter': 292, 'group_counter': 1699, 'group_order': 1536, 'label': '32C-3', 'order': 32, 'powers': [140, 298], 'representative': 1397, 'size': 1}
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id: 8176696
{'aut_label': '32A1', 'centralizer': '1.a1', 'counter': 293, 'group_counter': 1699, 'group_order': 1536, 'label': '32C5', 'order': 32, 'powers': [141, 303], 'representative': 245, 'size': 1}
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id: 8176697
{'aut_label': '32A1', 'centralizer': '1.a1', 'counter': 294, 'group_counter': 1699, 'group_order': 1536, 'label': '32C-5', 'order': 32, 'powers': [142, 304], 'representative': 1299, 'size': 1}
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id: 8176698
{'aut_label': '32A1', 'centralizer': '1.a1', 'counter': 295, 'group_counter': 1699, 'group_order': 1536, 'label': '32C7', 'order': 32, 'powers': [143, 300], 'representative': 343, 'size': 1}
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id: 8176699
{'aut_label': '32A1', 'centralizer': '1.a1', 'counter': 296, 'group_counter': 1699, 'group_order': 1536, 'label': '32C-7', 'order': 32, 'powers': [144, 299], 'representative': 1201, 'size': 1}
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id: 8176700
{'aut_label': '32A1', 'centralizer': '1.a1', 'counter': 297, 'group_counter': 1699, 'group_order': 1536, 'label': '32C9', 'order': 32, 'powers': [144, 294], 'representative': 433, 'size': 1}
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id: 8176701
{'aut_label': '32A1', 'centralizer': '1.a1', 'counter': 298, 'group_counter': 1699, 'group_order': 1536, 'label': '32C-9', 'order': 32, 'powers': [143, 293], 'representative': 1111, 'size': 1}
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id: 8176702
{'aut_label': '32A1', 'centralizer': '1.a1', 'counter': 299, 'group_counter': 1699, 'group_order': 1536, 'label': '32C11', 'order': 32, 'powers': [142, 289], 'representative': 531, 'size': 1}
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id: 8176705
{'aut_label': '32A1', 'centralizer': '1.a1', 'counter': 300, 'group_counter': 1699, 'group_order': 1536, 'label': '32C-11', 'order': 32, 'powers': [141, 290], 'representative': 1013, 'size': 1}
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id: 8176706
{'aut_label': '32A1', 'centralizer': '1.a1', 'counter': 301, 'group_counter': 1699, 'group_order': 1536, 'label': '32C13', 'order': 32, 'powers': [140, 295], 'representative': 629, 'size': 1}
-
id: 8176707
{'aut_label': '32A1', 'centralizer': '1.a1', 'counter': 302, 'group_counter': 1699, 'group_order': 1536, 'label': '32C-13', 'order': 32, 'powers': [139, 296], 'representative': 915, 'size': 1}
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id: 8176708
{'aut_label': '32A1', 'centralizer': '1.a1', 'counter': 303, 'group_counter': 1699, 'group_order': 1536, 'label': '32C15', 'order': 32, 'powers': [138, 301], 'representative': 727, 'size': 1}
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id: 8176709
{'aut_label': '32A1', 'centralizer': '1.a1', 'counter': 304, 'group_counter': 1699, 'group_order': 1536, 'label': '32C-15', 'order': 32, 'powers': [137, 302], 'representative': 817, 'size': 1}
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id: 8176710
{'aut_label': '32A1', 'centralizer': '1.a1', 'counter': 305, 'group_counter': 1699, 'group_order': 1536, 'label': '32D1', 'order': 32, 'powers': [143, 307], 'representative': 339, 'size': 1}
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id: 8176711
{'aut_label': '32A1', 'centralizer': '1.a1', 'counter': 306, 'group_counter': 1699, 'group_order': 1536, 'label': '32D-1', 'order': 32, 'powers': [144, 308], 'representative': 1205, 'size': 1}
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id: 8176712
{'aut_label': '32A1', 'centralizer': '1.a1', 'counter': 307, 'group_counter': 1699, 'group_order': 1536, 'label': '32D3', 'order': 32, 'powers': [141, 313], 'representative': 1009, 'size': 1}
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id: 8176713
{'aut_label': '32A1', 'centralizer': '1.a1', 'counter': 308, 'group_counter': 1699, 'group_order': 1536, 'label': '32D-3', 'order': 32, 'powers': [142, 314], 'representative': 535, 'size': 1}
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id: 8176714
{'aut_label': '32A1', 'centralizer': '1.a1', 'counter': 309, 'group_counter': 1699, 'group_order': 1536, 'label': '32D5', 'order': 32, 'powers': [139, 319], 'representative': 151, 'size': 1}
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id: 8176716
{'aut_label': '32A1', 'centralizer': '1.a1', 'counter': 310, 'group_counter': 1699, 'group_order': 1536, 'label': '32D-5', 'order': 32, 'powers': [140, 320], 'representative': 1393, 'size': 1}
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id: 8176717
{'aut_label': '32A1', 'centralizer': '1.a1', 'counter': 311, 'group_counter': 1699, 'group_order': 1536, 'label': '32D7', 'order': 32, 'powers': [137, 316], 'representative': 821, 'size': 1}
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id: 8176718
{'aut_label': '32A1', 'centralizer': '1.a1', 'counter': 312, 'group_counter': 1699, 'group_order': 1536, 'label': '32D-7', 'order': 32, 'powers': [138, 315], 'representative': 723, 'size': 1}
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id: 8176719
{'aut_label': '32A1', 'centralizer': '1.a1', 'counter': 313, 'group_counter': 1699, 'group_order': 1536, 'label': '32D9', 'order': 32, 'powers': [138, 310], 'representative': 1491, 'size': 1}
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id: 8176720
{'aut_label': '32A1', 'centralizer': '1.a1', 'counter': 314, 'group_counter': 1699, 'group_order': 1536, 'label': '32D-9', 'order': 32, 'powers': [137, 309], 'representative': 53, 'size': 1}
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id: 8176721
{'aut_label': '32A1', 'centralizer': '1.a1', 'counter': 315, 'group_counter': 1699, 'group_order': 1536, 'label': '32D11', 'order': 32, 'powers': [140, 305], 'representative': 625, 'size': 1}
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id: 8176722
{'aut_label': '32A1', 'centralizer': '1.a1', 'counter': 316, 'group_counter': 1699, 'group_order': 1536, 'label': '32D-11', 'order': 32, 'powers': [139, 306], 'representative': 919, 'size': 1}
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id: 8176723
{'aut_label': '32A1', 'centralizer': '1.a1', 'counter': 317, 'group_counter': 1699, 'group_order': 1536, 'label': '32D13', 'order': 32, 'powers': [142, 311], 'representative': 1303, 'size': 1}
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id: 8176724
{'aut_label': '32A1', 'centralizer': '1.a1', 'counter': 318, 'group_counter': 1699, 'group_order': 1536, 'label': '32D-13', 'order': 32, 'powers': [141, 312], 'representative': 241, 'size': 1}
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id: 8176725
{'aut_label': '32A1', 'centralizer': '1.a1', 'counter': 319, 'group_counter': 1699, 'group_order': 1536, 'label': '32D15', 'order': 32, 'powers': [144, 317], 'representative': 437, 'size': 1}
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id: 8176727
{'aut_label': '32A1', 'centralizer': '1.a1', 'counter': 320, 'group_counter': 1699, 'group_order': 1536, 'label': '32D-15', 'order': 32, 'powers': [143, 318], 'representative': 1107, 'size': 1}
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id: 8176728
{'aut_label': '32E1', 'centralizer': '1.a1', 'counter': 321, 'group_counter': 1699, 'group_order': 1536, 'label': '32E1', 'order': 32, 'powers': [145, 323], 'representative': 48, 'size': 1}
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id: 8176729
{'aut_label': '32E1', 'centralizer': '1.a1', 'counter': 322, 'group_counter': 1699, 'group_order': 1536, 'label': '32E-1', 'order': 32, 'powers': [146, 324], 'representative': 1488, 'size': 1}
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id: 8176730
{'aut_label': '32E1', 'centralizer': '1.a1', 'counter': 323, 'group_counter': 1699, 'group_order': 1536, 'label': '32E3', 'order': 32, 'powers': [147, 329], 'representative': 144, 'size': 1}
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id: 8176731
{'aut_label': '32E1', 'centralizer': '1.a1', 'counter': 324, 'group_counter': 1699, 'group_order': 1536, 'label': '32E-3', 'order': 32, 'powers': [148, 330], 'representative': 1392, 'size': 1}
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id: 8176732
{'aut_label': '32E1', 'centralizer': '1.a1', 'counter': 325, 'group_counter': 1699, 'group_order': 1536, 'label': '32E5', 'order': 32, 'powers': [149, 335], 'representative': 240, 'size': 1}
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id: 8176733
{'aut_label': '32E1', 'centralizer': '1.a1', 'counter': 326, 'group_counter': 1699, 'group_order': 1536, 'label': '32E-5', 'order': 32, 'powers': [150, 336], 'representative': 1296, 'size': 1}
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id: 8176734
{'aut_label': '32E1', 'centralizer': '1.a1', 'counter': 327, 'group_counter': 1699, 'group_order': 1536, 'label': '32E7', 'order': 32, 'powers': [151, 332], 'representative': 336, 'size': 1}
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id: 8176735
{'aut_label': '32E1', 'centralizer': '1.a1', 'counter': 328, 'group_counter': 1699, 'group_order': 1536, 'label': '32E-7', 'order': 32, 'powers': [152, 331], 'representative': 1200, 'size': 1}
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id: 8176736
{'aut_label': '32E1', 'centralizer': '1.a1', 'counter': 329, 'group_counter': 1699, 'group_order': 1536, 'label': '32E9', 'order': 32, 'powers': [152, 326], 'representative': 432, 'size': 1}
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id: 8176738
{'aut_label': '32E1', 'centralizer': '1.a1', 'counter': 330, 'group_counter': 1699, 'group_order': 1536, 'label': '32E-9', 'order': 32, 'powers': [151, 325], 'representative': 1104, 'size': 1}
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id: 8176739
{'aut_label': '32E1', 'centralizer': '1.a1', 'counter': 331, 'group_counter': 1699, 'group_order': 1536, 'label': '32E11', 'order': 32, 'powers': [150, 321], 'representative': 528, 'size': 1}
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id: 8176740
{'aut_label': '32E1', 'centralizer': '1.a1', 'counter': 332, 'group_counter': 1699, 'group_order': 1536, 'label': '32E-11', 'order': 32, 'powers': [149, 322], 'representative': 1008, 'size': 1}
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id: 8176741
{'aut_label': '32E1', 'centralizer': '1.a1', 'counter': 333, 'group_counter': 1699, 'group_order': 1536, 'label': '32E13', 'order': 32, 'powers': [148, 327], 'representative': 624, 'size': 1}
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id: 8176742
{'aut_label': '32E1', 'centralizer': '1.a1', 'counter': 334, 'group_counter': 1699, 'group_order': 1536, 'label': '32E-13', 'order': 32, 'powers': [147, 328], 'representative': 912, 'size': 1}
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id: 8176743
{'aut_label': '32E1', 'centralizer': '1.a1', 'counter': 335, 'group_counter': 1699, 'group_order': 1536, 'label': '32E15', 'order': 32, 'powers': [146, 333], 'representative': 720, 'size': 1}
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id: 8176744
{'aut_label': '32E1', 'centralizer': '1.a1', 'counter': 336, 'group_counter': 1699, 'group_order': 1536, 'label': '32E-15', 'order': 32, 'powers': [145, 334], 'representative': 816, 'size': 1}
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id: 8176745
{'aut_label': '32E1', 'centralizer': '1.a1', 'counter': 337, 'group_counter': 1699, 'group_order': 1536, 'label': '32F1', 'order': 32, 'powers': [145, 339], 'representative': 52, 'size': 1}
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id: 8176746
{'aut_label': '32E1', 'centralizer': '1.a1', 'counter': 338, 'group_counter': 1699, 'group_order': 1536, 'label': '32F-1', 'order': 32, 'powers': [146, 340], 'representative': 1492, 'size': 1}
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id: 8176747
{'aut_label': '32E1', 'centralizer': '1.a1', 'counter': 339, 'group_counter': 1699, 'group_order': 1536, 'label': '32F3', 'order': 32, 'powers': [147, 345], 'representative': 148, 'size': 1}
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id: 8176749
{'aut_label': '32E1', 'centralizer': '1.a1', 'counter': 340, 'group_counter': 1699, 'group_order': 1536, 'label': '32F-3', 'order': 32, 'powers': [148, 346], 'representative': 1396, 'size': 1}
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id: 8176750
{'aut_label': '32E1', 'centralizer': '1.a1', 'counter': 341, 'group_counter': 1699, 'group_order': 1536, 'label': '32F5', 'order': 32, 'powers': [149, 351], 'representative': 244, 'size': 1}
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id: 8176751
{'aut_label': '32E1', 'centralizer': '1.a1', 'counter': 342, 'group_counter': 1699, 'group_order': 1536, 'label': '32F-5', 'order': 32, 'powers': [150, 352], 'representative': 1300, 'size': 1}
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id: 8176752
{'aut_label': '32E1', 'centralizer': '1.a1', 'counter': 343, 'group_counter': 1699, 'group_order': 1536, 'label': '32F7', 'order': 32, 'powers': [151, 348], 'representative': 340, 'size': 1}
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id: 8176753
{'aut_label': '32E1', 'centralizer': '1.a1', 'counter': 344, 'group_counter': 1699, 'group_order': 1536, 'label': '32F-7', 'order': 32, 'powers': [152, 347], 'representative': 1204, 'size': 1}
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id: 8176754
{'aut_label': '32E1', 'centralizer': '1.a1', 'counter': 345, 'group_counter': 1699, 'group_order': 1536, 'label': '32F9', 'order': 32, 'powers': [152, 342], 'representative': 436, 'size': 1}
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id: 8176755
{'aut_label': '32E1', 'centralizer': '1.a1', 'counter': 346, 'group_counter': 1699, 'group_order': 1536, 'label': '32F-9', 'order': 32, 'powers': [151, 341], 'representative': 1108, 'size': 1}
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id: 8176756
{'aut_label': '32E1', 'centralizer': '1.a1', 'counter': 347, 'group_counter': 1699, 'group_order': 1536, 'label': '32F11', 'order': 32, 'powers': [150, 337], 'representative': 532, 'size': 1}
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id: 8176757
{'aut_label': '32E1', 'centralizer': '1.a1', 'counter': 348, 'group_counter': 1699, 'group_order': 1536, 'label': '32F-11', 'order': 32, 'powers': [149, 338], 'representative': 1012, 'size': 1}
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id: 8176758
{'aut_label': '32E1', 'centralizer': '1.a1', 'counter': 349, 'group_counter': 1699, 'group_order': 1536, 'label': '32F13', 'order': 32, 'powers': [148, 343], 'representative': 628, 'size': 1}
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id: 8176760
{'aut_label': '32E1', 'centralizer': '1.a1', 'counter': 350, 'group_counter': 1699, 'group_order': 1536, 'label': '32F-13', 'order': 32, 'powers': [147, 344], 'representative': 916, 'size': 1}
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id: 8176761
{'aut_label': '32E1', 'centralizer': '1.a1', 'counter': 351, 'group_counter': 1699, 'group_order': 1536, 'label': '32F15', 'order': 32, 'powers': [146, 349], 'representative': 724, 'size': 1}
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id: 8176762
{'aut_label': '32E1', 'centralizer': '1.a1', 'counter': 352, 'group_counter': 1699, 'group_order': 1536, 'label': '32F-15', 'order': 32, 'powers': [145, 350], 'representative': 820, 'size': 1}
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id: 8176763
{'aut_label': '32E1', 'centralizer': '1.a1', 'counter': 353, 'group_counter': 1699, 'group_order': 1536, 'label': '32G1', 'order': 32, 'powers': [153, 355], 'representative': 54, 'size': 1}
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id: 8176764
{'aut_label': '32E1', 'centralizer': '1.a1', 'counter': 354, 'group_counter': 1699, 'group_order': 1536, 'label': '32G-1', 'order': 32, 'powers': [154, 356], 'representative': 1490, 'size': 1}
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id: 8176765
{'aut_label': '32E1', 'centralizer': '1.a1', 'counter': 355, 'group_counter': 1699, 'group_order': 1536, 'label': '32G3', 'order': 32, 'powers': [155, 361], 'representative': 146, 'size': 1}
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id: 8176766
{'aut_label': '32E1', 'centralizer': '1.a1', 'counter': 356, 'group_counter': 1699, 'group_order': 1536, 'label': '32G-3', 'order': 32, 'powers': [156, 362], 'representative': 1398, 'size': 1}
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id: 8176767
{'aut_label': '32E1', 'centralizer': '1.a1', 'counter': 357, 'group_counter': 1699, 'group_order': 1536, 'label': '32G5', 'order': 32, 'powers': [157, 367], 'representative': 246, 'size': 1}
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id: 8176768
{'aut_label': '32E1', 'centralizer': '1.a1', 'counter': 358, 'group_counter': 1699, 'group_order': 1536, 'label': '32G-5', 'order': 32, 'powers': [158, 368], 'representative': 1298, 'size': 1}
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id: 8176769
{'aut_label': '32E1', 'centralizer': '1.a1', 'counter': 359, 'group_counter': 1699, 'group_order': 1536, 'label': '32G7', 'order': 32, 'powers': [159, 364], 'representative': 338, 'size': 1}
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id: 8176771
{'aut_label': '32E1', 'centralizer': '1.a1', 'counter': 360, 'group_counter': 1699, 'group_order': 1536, 'label': '32G-7', 'order': 32, 'powers': [160, 363], 'representative': 1206, 'size': 1}
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id: 8176772
{'aut_label': '32E1', 'centralizer': '1.a1', 'counter': 361, 'group_counter': 1699, 'group_order': 1536, 'label': '32G9', 'order': 32, 'powers': [160, 358], 'representative': 438, 'size': 1}
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id: 8176773
{'aut_label': '32E1', 'centralizer': '1.a1', 'counter': 362, 'group_counter': 1699, 'group_order': 1536, 'label': '32G-9', 'order': 32, 'powers': [159, 357], 'representative': 1106, 'size': 1}
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id: 8176774
{'aut_label': '32E1', 'centralizer': '1.a1', 'counter': 363, 'group_counter': 1699, 'group_order': 1536, 'label': '32G11', 'order': 32, 'powers': [158, 353], 'representative': 530, 'size': 1}
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id: 8176775
{'aut_label': '32E1', 'centralizer': '1.a1', 'counter': 364, 'group_counter': 1699, 'group_order': 1536, 'label': '32G-11', 'order': 32, 'powers': [157, 354], 'representative': 1014, 'size': 1}
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id: 8176776
{'aut_label': '32E1', 'centralizer': '1.a1', 'counter': 365, 'group_counter': 1699, 'group_order': 1536, 'label': '32G13', 'order': 32, 'powers': [156, 359], 'representative': 630, 'size': 1}
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id: 8176777
{'aut_label': '32E1', 'centralizer': '1.a1', 'counter': 366, 'group_counter': 1699, 'group_order': 1536, 'label': '32G-13', 'order': 32, 'powers': [155, 360], 'representative': 914, 'size': 1}
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id: 8176778
{'aut_label': '32E1', 'centralizer': '1.a1', 'counter': 367, 'group_counter': 1699, 'group_order': 1536, 'label': '32G15', 'order': 32, 'powers': [154, 365], 'representative': 722, 'size': 1}
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id: 8176779
{'aut_label': '32E1', 'centralizer': '1.a1', 'counter': 368, 'group_counter': 1699, 'group_order': 1536, 'label': '32G-15', 'order': 32, 'powers': [153, 366], 'representative': 822, 'size': 1}
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id: 8176780
{'aut_label': '32E1', 'centralizer': '1.a1', 'counter': 369, 'group_counter': 1699, 'group_order': 1536, 'label': '32H1', 'order': 32, 'powers': [153, 371], 'representative': 50, 'size': 1}
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id: 8176782
{'aut_label': '32E1', 'centralizer': '1.a1', 'counter': 370, 'group_counter': 1699, 'group_order': 1536, 'label': '32H-1', 'order': 32, 'powers': [154, 372], 'representative': 1494, 'size': 1}
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id: 8176783
{'aut_label': '32E1', 'centralizer': '1.a1', 'counter': 371, 'group_counter': 1699, 'group_order': 1536, 'label': '32H3', 'order': 32, 'powers': [155, 377], 'representative': 150, 'size': 1}
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id: 8176784
{'aut_label': '32E1', 'centralizer': '1.a1', 'counter': 372, 'group_counter': 1699, 'group_order': 1536, 'label': '32H-3', 'order': 32, 'powers': [156, 378], 'representative': 1394, 'size': 1}
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id: 8176785
{'aut_label': '32E1', 'centralizer': '1.a1', 'counter': 373, 'group_counter': 1699, 'group_order': 1536, 'label': '32H5', 'order': 32, 'powers': [157, 383], 'representative': 242, 'size': 1}
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id: 8176786
{'aut_label': '32E1', 'centralizer': '1.a1', 'counter': 374, 'group_counter': 1699, 'group_order': 1536, 'label': '32H-5', 'order': 32, 'powers': [158, 384], 'representative': 1302, 'size': 1}
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id: 8176787
{'aut_label': '32E1', 'centralizer': '1.a1', 'counter': 375, 'group_counter': 1699, 'group_order': 1536, 'label': '32H7', 'order': 32, 'powers': [159, 380], 'representative': 342, 'size': 1}
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id: 8176788
{'aut_label': '32E1', 'centralizer': '1.a1', 'counter': 376, 'group_counter': 1699, 'group_order': 1536, 'label': '32H-7', 'order': 32, 'powers': [160, 379], 'representative': 1202, 'size': 1}
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id: 8176789
{'aut_label': '32E1', 'centralizer': '1.a1', 'counter': 377, 'group_counter': 1699, 'group_order': 1536, 'label': '32H9', 'order': 32, 'powers': [160, 374], 'representative': 434, 'size': 1}
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id: 8176790
{'aut_label': '32E1', 'centralizer': '1.a1', 'counter': 378, 'group_counter': 1699, 'group_order': 1536, 'label': '32H-9', 'order': 32, 'powers': [159, 373], 'representative': 1110, 'size': 1}
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id: 8176791
{'aut_label': '32E1', 'centralizer': '1.a1', 'counter': 379, 'group_counter': 1699, 'group_order': 1536, 'label': '32H11', 'order': 32, 'powers': [158, 369], 'representative': 534, 'size': 1}
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id: 8176793
{'aut_label': '32E1', 'centralizer': '1.a1', 'counter': 380, 'group_counter': 1699, 'group_order': 1536, 'label': '32H-11', 'order': 32, 'powers': [157, 370], 'representative': 1010, 'size': 1}
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id: 8176794
{'aut_label': '32E1', 'centralizer': '1.a1', 'counter': 381, 'group_counter': 1699, 'group_order': 1536, 'label': '32H13', 'order': 32, 'powers': [156, 375], 'representative': 626, 'size': 1}
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id: 8176795
{'aut_label': '32E1', 'centralizer': '1.a1', 'counter': 382, 'group_counter': 1699, 'group_order': 1536, 'label': '32H-13', 'order': 32, 'powers': [155, 376], 'representative': 918, 'size': 1}
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id: 8176796
{'aut_label': '32E1', 'centralizer': '1.a1', 'counter': 383, 'group_counter': 1699, 'group_order': 1536, 'label': '32H15', 'order': 32, 'powers': [154, 381], 'representative': 726, 'size': 1}
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id: 8176797
{'aut_label': '32E1', 'centralizer': '1.a1', 'counter': 384, 'group_counter': 1699, 'group_order': 1536, 'label': '32H-15', 'order': 32, 'powers': [153, 382], 'representative': 818, 'size': 1}
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id: 8176798
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 385, 'group_counter': 1699, 'group_order': 1536, 'label': '48A1', 'order': 48, 'powers': [225, 97], 'representative': 33, 'size': 1}
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id: 8176799
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 386, 'group_counter': 1699, 'group_order': 1536, 'label': '48A-1', 'order': 48, 'powers': [226, 98], 'representative': 1511, 'size': 1}
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id: 8176800
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 387, 'group_counter': 1699, 'group_order': 1536, 'label': '48A5', 'order': 48, 'powers': [227, 101], 'representative': 165, 'size': 1}
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id: 8176801
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 388, 'group_counter': 1699, 'group_order': 1536, 'label': '48A-5', 'order': 48, 'powers': [228, 102], 'representative': 1379, 'size': 1}
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id: 8176802
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 389, 'group_counter': 1699, 'group_order': 1536, 'label': '48A7', 'order': 48, 'powers': [229, 103], 'representative': 231, 'size': 1}
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id: 8176804
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 390, 'group_counter': 1699, 'group_order': 1536, 'label': '48A-7', 'order': 48, 'powers': [230, 104], 'representative': 1313, 'size': 1}
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id: 8176805
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 391, 'group_counter': 1699, 'group_order': 1536, 'label': '48A11', 'order': 48, 'powers': [231, 102], 'representative': 355, 'size': 1}
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id: 8176806
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 392, 'group_counter': 1699, 'group_order': 1536, 'label': '48A-11', 'order': 48, 'powers': [232, 101], 'representative': 1189, 'size': 1}
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id: 8176807
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 393, 'group_counter': 1699, 'group_order': 1536, 'label': '48A13', 'order': 48, 'powers': [232, 100], 'representative': 421, 'size': 1}
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id: 8176808
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 394, 'group_counter': 1699, 'group_order': 1536, 'label': '48A-13', 'order': 48, 'powers': [231, 99], 'representative': 1123, 'size': 1}
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id: 8176809
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 395, 'group_counter': 1699, 'group_order': 1536, 'label': '48A17', 'order': 48, 'powers': [230, 97], 'representative': 545, 'size': 1}
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id: 8176810
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 396, 'group_counter': 1699, 'group_order': 1536, 'label': '48A-17', 'order': 48, 'powers': [229, 98], 'representative': 999, 'size': 1}
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id: 8176811
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 397, 'group_counter': 1699, 'group_order': 1536, 'label': '48A19', 'order': 48, 'powers': [228, 99], 'representative': 611, 'size': 1}
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id: 8176812
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 398, 'group_counter': 1699, 'group_order': 1536, 'label': '48A-19', 'order': 48, 'powers': [227, 100], 'representative': 933, 'size': 1}
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id: 8176813
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 399, 'group_counter': 1699, 'group_order': 1536, 'label': '48A23', 'order': 48, 'powers': [226, 103], 'representative': 743, 'size': 1}
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id: 8176816
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 400, 'group_counter': 1699, 'group_order': 1536, 'label': '48A-23', 'order': 48, 'powers': [225, 104], 'representative': 801, 'size': 1}
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id: 8176817
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 401, 'group_counter': 1699, 'group_order': 1536, 'label': '48B1', 'order': 48, 'powers': [227, 105], 'representative': 161, 'size': 1}
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id: 8176818
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 402, 'group_counter': 1699, 'group_order': 1536, 'label': '48B-1', 'order': 48, 'powers': [228, 106], 'representative': 1383, 'size': 1}
-
id: 8176819
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 403, 'group_counter': 1699, 'group_order': 1536, 'label': '48B5', 'order': 48, 'powers': [225, 109], 'representative': 805, 'size': 1}
-
id: 8176820
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 404, 'group_counter': 1699, 'group_order': 1536, 'label': '48B-5', 'order': 48, 'powers': [226, 110], 'representative': 739, 'size': 1}
-
id: 8176821
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 405, 'group_counter': 1699, 'group_order': 1536, 'label': '48B7', 'order': 48, 'powers': [231, 111], 'representative': 1127, 'size': 1}
-
id: 8176822
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 406, 'group_counter': 1699, 'group_order': 1536, 'label': '48B-7', 'order': 48, 'powers': [232, 112], 'representative': 417, 'size': 1}
-
id: 8176823
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 407, 'group_counter': 1699, 'group_order': 1536, 'label': '48B11', 'order': 48, 'powers': [229, 110], 'representative': 227, 'size': 1}
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id: 8176824
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 408, 'group_counter': 1699, 'group_order': 1536, 'label': '48B-11', 'order': 48, 'powers': [230, 109], 'representative': 1317, 'size': 1}
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id: 8176825
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 409, 'group_counter': 1699, 'group_order': 1536, 'label': '48B13', 'order': 48, 'powers': [230, 108], 'representative': 549, 'size': 1}
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id: 8176827
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 410, 'group_counter': 1699, 'group_order': 1536, 'label': '48B-13', 'order': 48, 'powers': [229, 107], 'representative': 995, 'size': 1}
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id: 8176828
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 411, 'group_counter': 1699, 'group_order': 1536, 'label': '48B17', 'order': 48, 'powers': [232, 105], 'representative': 1185, 'size': 1}
-
id: 8176829
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 412, 'group_counter': 1699, 'group_order': 1536, 'label': '48B-17', 'order': 48, 'powers': [231, 106], 'representative': 359, 'size': 1}
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id: 8176830
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 413, 'group_counter': 1699, 'group_order': 1536, 'label': '48B19', 'order': 48, 'powers': [226, 107], 'representative': 1507, 'size': 1}
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id: 8176831
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 414, 'group_counter': 1699, 'group_order': 1536, 'label': '48B-19', 'order': 48, 'powers': [225, 108], 'representative': 37, 'size': 1}
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id: 8176832
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 415, 'group_counter': 1699, 'group_order': 1536, 'label': '48B23', 'order': 48, 'powers': [228, 111], 'representative': 615, 'size': 1}
-
id: 8176833
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 416, 'group_counter': 1699, 'group_order': 1536, 'label': '48B-23', 'order': 48, 'powers': [227, 112], 'representative': 929, 'size': 1}
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id: 8176834
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 417, 'group_counter': 1699, 'group_order': 1536, 'label': '48C1', 'order': 48, 'powers': [233, 113], 'representative': 35, 'size': 1}
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id: 8176835
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 418, 'group_counter': 1699, 'group_order': 1536, 'label': '48C-1', 'order': 48, 'powers': [234, 114], 'representative': 1509, 'size': 1}
-
id: 8176836
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 419, 'group_counter': 1699, 'group_order': 1536, 'label': '48C5', 'order': 48, 'powers': [235, 117], 'representative': 167, 'size': 1}
-
id: 8176838
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 420, 'group_counter': 1699, 'group_order': 1536, 'label': '48C-5', 'order': 48, 'powers': [236, 118], 'representative': 1377, 'size': 1}
-
id: 8176839
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 421, 'group_counter': 1699, 'group_order': 1536, 'label': '48C7', 'order': 48, 'powers': [237, 119], 'representative': 229, 'size': 1}
-
id: 8176840
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 422, 'group_counter': 1699, 'group_order': 1536, 'label': '48C-7', 'order': 48, 'powers': [238, 120], 'representative': 1315, 'size': 1}
-
id: 8176841
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 423, 'group_counter': 1699, 'group_order': 1536, 'label': '48C11', 'order': 48, 'powers': [239, 118], 'representative': 353, 'size': 1}
-
id: 8176842
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 424, 'group_counter': 1699, 'group_order': 1536, 'label': '48C-11', 'order': 48, 'powers': [240, 117], 'representative': 1191, 'size': 1}
-
id: 8176843
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 425, 'group_counter': 1699, 'group_order': 1536, 'label': '48C13', 'order': 48, 'powers': [240, 116], 'representative': 423, 'size': 1}
-
id: 8176844
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 426, 'group_counter': 1699, 'group_order': 1536, 'label': '48C-13', 'order': 48, 'powers': [239, 115], 'representative': 1121, 'size': 1}
-
id: 8176845
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 427, 'group_counter': 1699, 'group_order': 1536, 'label': '48C17', 'order': 48, 'powers': [238, 113], 'representative': 547, 'size': 1}
-
id: 8176846
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 428, 'group_counter': 1699, 'group_order': 1536, 'label': '48C-17', 'order': 48, 'powers': [237, 114], 'representative': 997, 'size': 1}
-
id: 8176847
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 429, 'group_counter': 1699, 'group_order': 1536, 'label': '48C19', 'order': 48, 'powers': [236, 115], 'representative': 609, 'size': 1}
-
id: 8176849
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 430, 'group_counter': 1699, 'group_order': 1536, 'label': '48C-19', 'order': 48, 'powers': [235, 116], 'representative': 935, 'size': 1}
-
id: 8176850
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 431, 'group_counter': 1699, 'group_order': 1536, 'label': '48C23', 'order': 48, 'powers': [234, 119], 'representative': 741, 'size': 1}
-
id: 8176851
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 432, 'group_counter': 1699, 'group_order': 1536, 'label': '48C-23', 'order': 48, 'powers': [233, 120], 'representative': 803, 'size': 1}
-
id: 8176852
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 433, 'group_counter': 1699, 'group_order': 1536, 'label': '48D1', 'order': 48, 'powers': [237, 121], 'representative': 225, 'size': 1}
-
id: 8176853
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 434, 'group_counter': 1699, 'group_order': 1536, 'label': '48D-1', 'order': 48, 'powers': [238, 122], 'representative': 1319, 'size': 1}
-
id: 8176854
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 435, 'group_counter': 1699, 'group_order': 1536, 'label': '48D5', 'order': 48, 'powers': [239, 125], 'representative': 1125, 'size': 1}
-
id: 8176855
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 436, 'group_counter': 1699, 'group_order': 1536, 'label': '48D-5', 'order': 48, 'powers': [240, 126], 'representative': 419, 'size': 1}
-
id: 8176856
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 437, 'group_counter': 1699, 'group_order': 1536, 'label': '48D7', 'order': 48, 'powers': [233, 127], 'representative': 39, 'size': 1}
-
id: 8176857
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 438, 'group_counter': 1699, 'group_order': 1536, 'label': '48D-7', 'order': 48, 'powers': [234, 128], 'representative': 1505, 'size': 1}
-
id: 8176858
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 439, 'group_counter': 1699, 'group_order': 1536, 'label': '48D11', 'order': 48, 'powers': [235, 126], 'representative': 931, 'size': 1}
-
id: 8176860
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 440, 'group_counter': 1699, 'group_order': 1536, 'label': '48D-11', 'order': 48, 'powers': [236, 125], 'representative': 613, 'size': 1}
-
id: 8176861
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 441, 'group_counter': 1699, 'group_order': 1536, 'label': '48D13', 'order': 48, 'powers': [236, 124], 'representative': 1381, 'size': 1}
-
id: 8176862
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 442, 'group_counter': 1699, 'group_order': 1536, 'label': '48D-13', 'order': 48, 'powers': [235, 123], 'representative': 163, 'size': 1}
-
id: 8176863
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 443, 'group_counter': 1699, 'group_order': 1536, 'label': '48D17', 'order': 48, 'powers': [234, 121], 'representative': 737, 'size': 1}
-
id: 8176864
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 444, 'group_counter': 1699, 'group_order': 1536, 'label': '48D-17', 'order': 48, 'powers': [233, 122], 'representative': 807, 'size': 1}
-
id: 8176865
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 445, 'group_counter': 1699, 'group_order': 1536, 'label': '48D19', 'order': 48, 'powers': [240, 123], 'representative': 1187, 'size': 1}
-
id: 8176866
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 446, 'group_counter': 1699, 'group_order': 1536, 'label': '48D-19', 'order': 48, 'powers': [239, 124], 'representative': 357, 'size': 1}
-
id: 8176867
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 447, 'group_counter': 1699, 'group_order': 1536, 'label': '48D23', 'order': 48, 'powers': [238, 127], 'representative': 551, 'size': 1}
-
id: 8176868
{'aut_label': '48A1', 'centralizer': '1.a1', 'counter': 448, 'group_counter': 1699, 'group_order': 1536, 'label': '48D-23', 'order': 48, 'powers': [237, 128], 'representative': 993, 'size': 1}
-
id: 8176869
{'aut_label': '48E1', 'centralizer': '1.a1', 'counter': 449, 'group_counter': 1699, 'group_order': 1536, 'label': '48E1', 'order': 48, 'powers': [241, 129], 'representative': 34, 'size': 1}
-
id: 8176871
{'aut_label': '48E1', 'centralizer': '1.a1', 'counter': 450, 'group_counter': 1699, 'group_order': 1536, 'label': '48E-1', 'order': 48, 'powers': [242, 130], 'representative': 1510, 'size': 1}
-
id: 8176872
{'aut_label': '48E1', 'centralizer': '1.a1', 'counter': 451, 'group_counter': 1699, 'group_order': 1536, 'label': '48E5', 'order': 48, 'powers': [243, 133], 'representative': 162, 'size': 1}
-
id: 8176873
{'aut_label': '48E1', 'centralizer': '1.a1', 'counter': 452, 'group_counter': 1699, 'group_order': 1536, 'label': '48E-5', 'order': 48, 'powers': [244, 134], 'representative': 1382, 'size': 1}
-
id: 8176874
{'aut_label': '48E1', 'centralizer': '1.a1', 'counter': 453, 'group_counter': 1699, 'group_order': 1536, 'label': '48E7', 'order': 48, 'powers': [245, 135], 'representative': 230, 'size': 1}
-
id: 8176875
{'aut_label': '48E1', 'centralizer': '1.a1', 'counter': 454, 'group_counter': 1699, 'group_order': 1536, 'label': '48E-7', 'order': 48, 'powers': [246, 136], 'representative': 1314, 'size': 1}
-
id: 8176876
{'aut_label': '48E1', 'centralizer': '1.a1', 'counter': 455, 'group_counter': 1699, 'group_order': 1536, 'label': '48E11', 'order': 48, 'powers': [247, 134], 'representative': 358, 'size': 1}
-
id: 8176877
{'aut_label': '48E1', 'centralizer': '1.a1', 'counter': 456, 'group_counter': 1699, 'group_order': 1536, 'label': '48E-11', 'order': 48, 'powers': [248, 133], 'representative': 1186, 'size': 1}
-
id: 8176878
{'aut_label': '48E1', 'centralizer': '1.a1', 'counter': 457, 'group_counter': 1699, 'group_order': 1536, 'label': '48E13', 'order': 48, 'powers': [248, 132], 'representative': 418, 'size': 1}
-
id: 8176879
{'aut_label': '48E1', 'centralizer': '1.a1', 'counter': 458, 'group_counter': 1699, 'group_order': 1536, 'label': '48E-13', 'order': 48, 'powers': [247, 131], 'representative': 1126, 'size': 1}
-
id: 8176880
{'aut_label': '48E1', 'centralizer': '1.a1', 'counter': 459, 'group_counter': 1699, 'group_order': 1536, 'label': '48E17', 'order': 48, 'powers': [246, 129], 'representative': 546, 'size': 1}
-
id: 8176882
{'aut_label': '48E1', 'centralizer': '1.a1', 'counter': 460, 'group_counter': 1699, 'group_order': 1536, 'label': '48E-17', 'order': 48, 'powers': [245, 130], 'representative': 998, 'size': 1}
-
id: 8176883
{'aut_label': '48E1', 'centralizer': '1.a1', 'counter': 461, 'group_counter': 1699, 'group_order': 1536, 'label': '48E19', 'order': 48, 'powers': [244, 131], 'representative': 614, 'size': 1}
-
id: 8176884
{'aut_label': '48E1', 'centralizer': '1.a1', 'counter': 462, 'group_counter': 1699, 'group_order': 1536, 'label': '48E-19', 'order': 48, 'powers': [243, 132], 'representative': 930, 'size': 1}
-
id: 8176885
{'aut_label': '48E1', 'centralizer': '1.a1', 'counter': 463, 'group_counter': 1699, 'group_order': 1536, 'label': '48E23', 'order': 48, 'powers': [242, 135], 'representative': 742, 'size': 1}
-
id: 8176886
{'aut_label': '48E1', 'centralizer': '1.a1', 'counter': 464, 'group_counter': 1699, 'group_order': 1536, 'label': '48E-23', 'order': 48, 'powers': [241, 136], 'representative': 802, 'size': 1}
-
id: 8176887
{'aut_label': '48E1', 'centralizer': '1.a1', 'counter': 465, 'group_counter': 1699, 'group_order': 1536, 'label': '48F1', 'order': 48, 'powers': [241, 137], 'representative': 38, 'size': 1}
-
id: 8176888
{'aut_label': '48E1', 'centralizer': '1.a1', 'counter': 466, 'group_counter': 1699, 'group_order': 1536, 'label': '48F-1', 'order': 48, 'powers': [242, 138], 'representative': 1506, 'size': 1}
-
id: 8176889
{'aut_label': '48E1', 'centralizer': '1.a1', 'counter': 467, 'group_counter': 1699, 'group_order': 1536, 'label': '48F5', 'order': 48, 'powers': [243, 141], 'representative': 166, 'size': 1}
-
id: 8176890
{'aut_label': '48E1', 'centralizer': '1.a1', 'counter': 468, 'group_counter': 1699, 'group_order': 1536, 'label': '48F-5', 'order': 48, 'powers': [244, 142], 'representative': 1378, 'size': 1}
-
id: 8176891
{'aut_label': '48E1', 'centralizer': '1.a1', 'counter': 469, 'group_counter': 1699, 'group_order': 1536, 'label': '48F7', 'order': 48, 'powers': [245, 143], 'representative': 226, 'size': 1}
-
id: 8176893
{'aut_label': '48E1', 'centralizer': '1.a1', 'counter': 470, 'group_counter': 1699, 'group_order': 1536, 'label': '48F-7', 'order': 48, 'powers': [246, 144], 'representative': 1318, 'size': 1}
-
id: 8176894
{'aut_label': '48E1', 'centralizer': '1.a1', 'counter': 471, 'group_counter': 1699, 'group_order': 1536, 'label': '48F11', 'order': 48, 'powers': [247, 142], 'representative': 354, 'size': 1}
-
id: 8176895
{'aut_label': '48E1', 'centralizer': '1.a1', 'counter': 472, 'group_counter': 1699, 'group_order': 1536, 'label': '48F-11', 'order': 48, 'powers': [248, 141], 'representative': 1190, 'size': 1}
-
id: 8176896
{'aut_label': '48E1', 'centralizer': '1.a1', 'counter': 473, 'group_counter': 1699, 'group_order': 1536, 'label': '48F13', 'order': 48, 'powers': [248, 140], 'representative': 422, 'size': 1}
-
id: 8176897
{'aut_label': '48E1', 'centralizer': '1.a1', 'counter': 474, 'group_counter': 1699, 'group_order': 1536, 'label': '48F-13', 'order': 48, 'powers': [247, 139], 'representative': 1122, 'size': 1}
-
id: 8176898
{'aut_label': '48E1', 'centralizer': '1.a1', 'counter': 475, 'group_counter': 1699, 'group_order': 1536, 'label': '48F17', 'order': 48, 'powers': [246, 137], 'representative': 550, 'size': 1}
-
id: 8176899
{'aut_label': '48E1', 'centralizer': '1.a1', 'counter': 476, 'group_counter': 1699, 'group_order': 1536, 'label': '48F-17', 'order': 48, 'powers': [245, 138], 'representative': 994, 'size': 1}
-
id: 8176900
{'aut_label': '48E1', 'centralizer': '1.a1', 'counter': 477, 'group_counter': 1699, 'group_order': 1536, 'label': '48F19', 'order': 48, 'powers': [244, 139], 'representative': 610, 'size': 1}
-
id: 8176901
{'aut_label': '48E1', 'centralizer': '1.a1', 'counter': 478, 'group_counter': 1699, 'group_order': 1536, 'label': '48F-19', 'order': 48, 'powers': [243, 140], 'representative': 934, 'size': 1}
-
id: 8176902
{'aut_label': '48E1', 'centralizer': '1.a1', 'counter': 479, 'group_counter': 1699, 'group_order': 1536, 'label': '48F23', 'order': 48, 'powers': [242, 143], 'representative': 738, 'size': 1}
-
id: 8176904
{'aut_label': '48E1', 'centralizer': '1.a1', 'counter': 480, 'group_counter': 1699, 'group_order': 1536, 'label': '48F-23', 'order': 48, 'powers': [241, 144], 'representative': 806, 'size': 1}
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id: 8176905
{'aut_label': '48G1', 'centralizer': '1.a1', 'counter': 481, 'group_counter': 1699, 'group_order': 1536, 'label': '48G1', 'order': 48, 'powers': [249, 145], 'representative': 32, 'size': 1}
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id: 8176906
{'aut_label': '48G1', 'centralizer': '1.a1', 'counter': 482, 'group_counter': 1699, 'group_order': 1536, 'label': '48G-1', 'order': 48, 'powers': [250, 146], 'representative': 1504, 'size': 1}
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id: 8176907
{'aut_label': '48G1', 'centralizer': '1.a1', 'counter': 483, 'group_counter': 1699, 'group_order': 1536, 'label': '48G5', 'order': 48, 'powers': [251, 149], 'representative': 160, 'size': 1}
-
id: 8176908
{'aut_label': '48G1', 'centralizer': '1.a1', 'counter': 484, 'group_counter': 1699, 'group_order': 1536, 'label': '48G-5', 'order': 48, 'powers': [252, 150], 'representative': 1376, 'size': 1}
-
id: 8176909
{'aut_label': '48G1', 'centralizer': '1.a1', 'counter': 485, 'group_counter': 1699, 'group_order': 1536, 'label': '48G7', 'order': 48, 'powers': [253, 151], 'representative': 224, 'size': 1}
-
id: 8176910
{'aut_label': '48G1', 'centralizer': '1.a1', 'counter': 486, 'group_counter': 1699, 'group_order': 1536, 'label': '48G-7', 'order': 48, 'powers': [254, 152], 'representative': 1312, 'size': 1}
-
id: 8176911
{'aut_label': '48G1', 'centralizer': '1.a1', 'counter': 487, 'group_counter': 1699, 'group_order': 1536, 'label': '48G11', 'order': 48, 'powers': [255, 150], 'representative': 352, 'size': 1}
-
id: 8176912
{'aut_label': '48G1', 'centralizer': '1.a1', 'counter': 488, 'group_counter': 1699, 'group_order': 1536, 'label': '48G-11', 'order': 48, 'powers': [256, 149], 'representative': 1184, 'size': 1}
-
id: 8176913
{'aut_label': '48G1', 'centralizer': '1.a1', 'counter': 489, 'group_counter': 1699, 'group_order': 1536, 'label': '48G13', 'order': 48, 'powers': [256, 148], 'representative': 416, 'size': 1}
-
id: 8176915
{'aut_label': '48G1', 'centralizer': '1.a1', 'counter': 490, 'group_counter': 1699, 'group_order': 1536, 'label': '48G-13', 'order': 48, 'powers': [255, 147], 'representative': 1120, 'size': 1}
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id: 8176916
{'aut_label': '48G1', 'centralizer': '1.a1', 'counter': 491, 'group_counter': 1699, 'group_order': 1536, 'label': '48G17', 'order': 48, 'powers': [254, 145], 'representative': 544, 'size': 1}
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id: 8176917
{'aut_label': '48G1', 'centralizer': '1.a1', 'counter': 492, 'group_counter': 1699, 'group_order': 1536, 'label': '48G-17', 'order': 48, 'powers': [253, 146], 'representative': 992, 'size': 1}
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id: 8176918
{'aut_label': '48G1', 'centralizer': '1.a1', 'counter': 493, 'group_counter': 1699, 'group_order': 1536, 'label': '48G19', 'order': 48, 'powers': [252, 147], 'representative': 608, 'size': 1}
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id: 8176919
{'aut_label': '48G1', 'centralizer': '1.a1', 'counter': 494, 'group_counter': 1699, 'group_order': 1536, 'label': '48G-19', 'order': 48, 'powers': [251, 148], 'representative': 928, 'size': 1}
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id: 8176920
{'aut_label': '48G1', 'centralizer': '1.a1', 'counter': 495, 'group_counter': 1699, 'group_order': 1536, 'label': '48G23', 'order': 48, 'powers': [250, 151], 'representative': 736, 'size': 1}
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id: 8176921
{'aut_label': '48G1', 'centralizer': '1.a1', 'counter': 496, 'group_counter': 1699, 'group_order': 1536, 'label': '48G-23', 'order': 48, 'powers': [249, 152], 'representative': 800, 'size': 1}
-
id: 8176922
{'aut_label': '48G1', 'centralizer': '1.a1', 'counter': 497, 'group_counter': 1699, 'group_order': 1536, 'label': '48H1', 'order': 48, 'powers': [249, 153], 'representative': 36, 'size': 1}
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id: 8176923
{'aut_label': '48G1', 'centralizer': '1.a1', 'counter': 498, 'group_counter': 1699, 'group_order': 1536, 'label': '48H-1', 'order': 48, 'powers': [250, 154], 'representative': 1508, 'size': 1}
-
id: 8176924
{'aut_label': '48G1', 'centralizer': '1.a1', 'counter': 499, 'group_counter': 1699, 'group_order': 1536, 'label': '48H5', 'order': 48, 'powers': [251, 157], 'representative': 164, 'size': 1}
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id: 8176927
{'aut_label': '48G1', 'centralizer': '1.a1', 'counter': 500, 'group_counter': 1699, 'group_order': 1536, 'label': '48H-5', 'order': 48, 'powers': [252, 158], 'representative': 1380, 'size': 1}
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id: 8176928
{'aut_label': '48G1', 'centralizer': '1.a1', 'counter': 501, 'group_counter': 1699, 'group_order': 1536, 'label': '48H7', 'order': 48, 'powers': [253, 159], 'representative': 228, 'size': 1}
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id: 8176929
{'aut_label': '48G1', 'centralizer': '1.a1', 'counter': 502, 'group_counter': 1699, 'group_order': 1536, 'label': '48H-7', 'order': 48, 'powers': [254, 160], 'representative': 1316, 'size': 1}
-
id: 8176930
{'aut_label': '48G1', 'centralizer': '1.a1', 'counter': 503, 'group_counter': 1699, 'group_order': 1536, 'label': '48H11', 'order': 48, 'powers': [255, 158], 'representative': 356, 'size': 1}
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id: 8176931
{'aut_label': '48G1', 'centralizer': '1.a1', 'counter': 504, 'group_counter': 1699, 'group_order': 1536, 'label': '48H-11', 'order': 48, 'powers': [256, 157], 'representative': 1188, 'size': 1}
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id: 8176932
{'aut_label': '48G1', 'centralizer': '1.a1', 'counter': 505, 'group_counter': 1699, 'group_order': 1536, 'label': '48H13', 'order': 48, 'powers': [256, 156], 'representative': 420, 'size': 1}
-
id: 8176933
{'aut_label': '48G1', 'centralizer': '1.a1', 'counter': 506, 'group_counter': 1699, 'group_order': 1536, 'label': '48H-13', 'order': 48, 'powers': [255, 155], 'representative': 1124, 'size': 1}
-
id: 8176934
{'aut_label': '48G1', 'centralizer': '1.a1', 'counter': 507, 'group_counter': 1699, 'group_order': 1536, 'label': '48H17', 'order': 48, 'powers': [254, 153], 'representative': 548, 'size': 1}
-
id: 8176935
{'aut_label': '48G1', 'centralizer': '1.a1', 'counter': 508, 'group_counter': 1699, 'group_order': 1536, 'label': '48H-17', 'order': 48, 'powers': [253, 154], 'representative': 996, 'size': 1}
-
id: 8176936
{'aut_label': '48G1', 'centralizer': '1.a1', 'counter': 509, 'group_counter': 1699, 'group_order': 1536, 'label': '48H19', 'order': 48, 'powers': [252, 155], 'representative': 612, 'size': 1}
-
id: 8176938
{'aut_label': '48G1', 'centralizer': '1.a1', 'counter': 510, 'group_counter': 1699, 'group_order': 1536, 'label': '48H-19', 'order': 48, 'powers': [251, 156], 'representative': 932, 'size': 1}
-
id: 8176939
{'aut_label': '48G1', 'centralizer': '1.a1', 'counter': 511, 'group_counter': 1699, 'group_order': 1536, 'label': '48H23', 'order': 48, 'powers': [250, 159], 'representative': 740, 'size': 1}
-
id: 8176940
{'aut_label': '48G1', 'centralizer': '1.a1', 'counter': 512, 'group_counter': 1699, 'group_order': 1536, 'label': '48H-23', 'order': 48, 'powers': [249, 160], 'representative': 804, 'size': 1}
-
id: 8176941
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 513, 'group_counter': 1699, 'group_order': 1536, 'label': '64A1', 'order': 64, 'powers': [321, 515], 'representative': 24, 'size': 1}
-
id: 8176942
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 514, 'group_counter': 1699, 'group_order': 1536, 'label': '64A-1', 'order': 64, 'powers': [322, 516], 'representative': 1512, 'size': 1}
-
id: 8176943
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 515, 'group_counter': 1699, 'group_order': 1536, 'label': '64A3', 'order': 64, 'powers': [323, 521], 'representative': 72, 'size': 1}
-
id: 8176944
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 516, 'group_counter': 1699, 'group_order': 1536, 'label': '64A-3', 'order': 64, 'powers': [324, 522], 'representative': 1464, 'size': 1}
-
id: 8176945
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 517, 'group_counter': 1699, 'group_order': 1536, 'label': '64A5', 'order': 64, 'powers': [325, 527], 'representative': 120, 'size': 1}
-
id: 8176946
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 518, 'group_counter': 1699, 'group_order': 1536, 'label': '64A-5', 'order': 64, 'powers': [326, 528], 'representative': 1416, 'size': 1}
-
id: 8176947
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 519, 'group_counter': 1699, 'group_order': 1536, 'label': '64A7', 'order': 64, 'powers': [327, 533], 'representative': 168, 'size': 1}
-
id: 8176949
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 520, 'group_counter': 1699, 'group_order': 1536, 'label': '64A-7', 'order': 64, 'powers': [328, 534], 'representative': 1368, 'size': 1}
-
id: 8176950
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 521, 'group_counter': 1699, 'group_order': 1536, 'label': '64A9', 'order': 64, 'powers': [329, 539], 'representative': 216, 'size': 1}
-
id: 8176951
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 522, 'group_counter': 1699, 'group_order': 1536, 'label': '64A-9', 'order': 64, 'powers': [330, 540], 'representative': 1320, 'size': 1}
-
id: 8176952
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 523, 'group_counter': 1699, 'group_order': 1536, 'label': '64A11', 'order': 64, 'powers': [331, 544], 'representative': 264, 'size': 1}
-
id: 8176953
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 524, 'group_counter': 1699, 'group_order': 1536, 'label': '64A-11', 'order': 64, 'powers': [332, 543], 'representative': 1272, 'size': 1}
-
id: 8176954
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 525, 'group_counter': 1699, 'group_order': 1536, 'label': '64A13', 'order': 64, 'powers': [333, 538], 'representative': 312, 'size': 1}
-
id: 8176955
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 526, 'group_counter': 1699, 'group_order': 1536, 'label': '64A-13', 'order': 64, 'powers': [334, 537], 'representative': 1224, 'size': 1}
-
id: 8176956
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 527, 'group_counter': 1699, 'group_order': 1536, 'label': '64A15', 'order': 64, 'powers': [335, 532], 'representative': 360, 'size': 1}
-
id: 8176957
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 528, 'group_counter': 1699, 'group_order': 1536, 'label': '64A-15', 'order': 64, 'powers': [336, 531], 'representative': 1176, 'size': 1}
-
id: 8176958
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 529, 'group_counter': 1699, 'group_order': 1536, 'label': '64A17', 'order': 64, 'powers': [336, 526], 'representative': 408, 'size': 1}
-
id: 8176960
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 530, 'group_counter': 1699, 'group_order': 1536, 'label': '64A-17', 'order': 64, 'powers': [335, 525], 'representative': 1128, 'size': 1}
-
id: 8176961
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 531, 'group_counter': 1699, 'group_order': 1536, 'label': '64A19', 'order': 64, 'powers': [334, 520], 'representative': 456, 'size': 1}
-
id: 8176962
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 532, 'group_counter': 1699, 'group_order': 1536, 'label': '64A-19', 'order': 64, 'powers': [333, 519], 'representative': 1080, 'size': 1}
-
id: 8176963
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 533, 'group_counter': 1699, 'group_order': 1536, 'label': '64A21', 'order': 64, 'powers': [332, 514], 'representative': 504, 'size': 1}
-
id: 8176964
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 534, 'group_counter': 1699, 'group_order': 1536, 'label': '64A-21', 'order': 64, 'powers': [331, 513], 'representative': 1032, 'size': 1}
-
id: 8176965
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 535, 'group_counter': 1699, 'group_order': 1536, 'label': '64A23', 'order': 64, 'powers': [330, 517], 'representative': 552, 'size': 1}
-
id: 8176966
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 536, 'group_counter': 1699, 'group_order': 1536, 'label': '64A-23', 'order': 64, 'powers': [329, 518], 'representative': 984, 'size': 1}
-
id: 8176967
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 537, 'group_counter': 1699, 'group_order': 1536, 'label': '64A25', 'order': 64, 'powers': [328, 523], 'representative': 600, 'size': 1}
-
id: 8176968
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 538, 'group_counter': 1699, 'group_order': 1536, 'label': '64A-25', 'order': 64, 'powers': [327, 524], 'representative': 936, 'size': 1}
-
id: 8176969
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 539, 'group_counter': 1699, 'group_order': 1536, 'label': '64A27', 'order': 64, 'powers': [326, 529], 'representative': 648, 'size': 1}
-
id: 8176971
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 540, 'group_counter': 1699, 'group_order': 1536, 'label': '64A-27', 'order': 64, 'powers': [325, 530], 'representative': 888, 'size': 1}
-
id: 8176972
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 541, 'group_counter': 1699, 'group_order': 1536, 'label': '64A29', 'order': 64, 'powers': [324, 535], 'representative': 696, 'size': 1}
-
id: 8176973
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 542, 'group_counter': 1699, 'group_order': 1536, 'label': '64A-29', 'order': 64, 'powers': [323, 536], 'representative': 840, 'size': 1}
-
id: 8176974
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 543, 'group_counter': 1699, 'group_order': 1536, 'label': '64A31', 'order': 64, 'powers': [322, 541], 'representative': 744, 'size': 1}
-
id: 8176975
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 544, 'group_counter': 1699, 'group_order': 1536, 'label': '64A-31', 'order': 64, 'powers': [321, 542], 'representative': 792, 'size': 1}
-
id: 8176976
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 545, 'group_counter': 1699, 'group_order': 1536, 'label': '64B1', 'order': 64, 'powers': [321, 547], 'representative': 28, 'size': 1}
-
id: 8176977
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 546, 'group_counter': 1699, 'group_order': 1536, 'label': '64B-1', 'order': 64, 'powers': [322, 548], 'representative': 1516, 'size': 1}
-
id: 8176978
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 547, 'group_counter': 1699, 'group_order': 1536, 'label': '64B3', 'order': 64, 'powers': [323, 553], 'representative': 76, 'size': 1}
-
id: 8176979
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 548, 'group_counter': 1699, 'group_order': 1536, 'label': '64B-3', 'order': 64, 'powers': [324, 554], 'representative': 1468, 'size': 1}
-
id: 8176980
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 549, 'group_counter': 1699, 'group_order': 1536, 'label': '64B5', 'order': 64, 'powers': [325, 559], 'representative': 124, 'size': 1}
-
id: 8176982
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 550, 'group_counter': 1699, 'group_order': 1536, 'label': '64B-5', 'order': 64, 'powers': [326, 560], 'representative': 1420, 'size': 1}
-
id: 8176983
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 551, 'group_counter': 1699, 'group_order': 1536, 'label': '64B7', 'order': 64, 'powers': [327, 565], 'representative': 172, 'size': 1}
-
id: 8176984
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 552, 'group_counter': 1699, 'group_order': 1536, 'label': '64B-7', 'order': 64, 'powers': [328, 566], 'representative': 1372, 'size': 1}
-
id: 8176985
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 553, 'group_counter': 1699, 'group_order': 1536, 'label': '64B9', 'order': 64, 'powers': [329, 571], 'representative': 220, 'size': 1}
-
id: 8176986
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 554, 'group_counter': 1699, 'group_order': 1536, 'label': '64B-9', 'order': 64, 'powers': [330, 572], 'representative': 1324, 'size': 1}
-
id: 8176987
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 555, 'group_counter': 1699, 'group_order': 1536, 'label': '64B11', 'order': 64, 'powers': [331, 576], 'representative': 268, 'size': 1}
-
id: 8176988
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 556, 'group_counter': 1699, 'group_order': 1536, 'label': '64B-11', 'order': 64, 'powers': [332, 575], 'representative': 1276, 'size': 1}
-
id: 8176989
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 557, 'group_counter': 1699, 'group_order': 1536, 'label': '64B13', 'order': 64, 'powers': [333, 570], 'representative': 316, 'size': 1}
-
id: 8176990
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 558, 'group_counter': 1699, 'group_order': 1536, 'label': '64B-13', 'order': 64, 'powers': [334, 569], 'representative': 1228, 'size': 1}
-
id: 8176991
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 559, 'group_counter': 1699, 'group_order': 1536, 'label': '64B15', 'order': 64, 'powers': [335, 564], 'representative': 364, 'size': 1}
-
id: 8176993
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 560, 'group_counter': 1699, 'group_order': 1536, 'label': '64B-15', 'order': 64, 'powers': [336, 563], 'representative': 1180, 'size': 1}
-
id: 8176994
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 561, 'group_counter': 1699, 'group_order': 1536, 'label': '64B17', 'order': 64, 'powers': [336, 558], 'representative': 412, 'size': 1}
-
id: 8176995
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 562, 'group_counter': 1699, 'group_order': 1536, 'label': '64B-17', 'order': 64, 'powers': [335, 557], 'representative': 1132, 'size': 1}
-
id: 8176996
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 563, 'group_counter': 1699, 'group_order': 1536, 'label': '64B19', 'order': 64, 'powers': [334, 552], 'representative': 460, 'size': 1}
-
id: 8176997
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 564, 'group_counter': 1699, 'group_order': 1536, 'label': '64B-19', 'order': 64, 'powers': [333, 551], 'representative': 1084, 'size': 1}
-
id: 8176998
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 565, 'group_counter': 1699, 'group_order': 1536, 'label': '64B21', 'order': 64, 'powers': [332, 546], 'representative': 508, 'size': 1}
-
id: 8176999
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 566, 'group_counter': 1699, 'group_order': 1536, 'label': '64B-21', 'order': 64, 'powers': [331, 545], 'representative': 1036, 'size': 1}
-
id: 8177000
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 567, 'group_counter': 1699, 'group_order': 1536, 'label': '64B23', 'order': 64, 'powers': [330, 549], 'representative': 556, 'size': 1}
-
id: 8177001
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 568, 'group_counter': 1699, 'group_order': 1536, 'label': '64B-23', 'order': 64, 'powers': [329, 550], 'representative': 988, 'size': 1}
-
id: 8177002
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 569, 'group_counter': 1699, 'group_order': 1536, 'label': '64B25', 'order': 64, 'powers': [328, 555], 'representative': 604, 'size': 1}
-
id: 8177004
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 570, 'group_counter': 1699, 'group_order': 1536, 'label': '64B-25', 'order': 64, 'powers': [327, 556], 'representative': 940, 'size': 1}
-
id: 8177005
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 571, 'group_counter': 1699, 'group_order': 1536, 'label': '64B27', 'order': 64, 'powers': [326, 561], 'representative': 652, 'size': 1}
-
id: 8177006
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 572, 'group_counter': 1699, 'group_order': 1536, 'label': '64B-27', 'order': 64, 'powers': [325, 562], 'representative': 892, 'size': 1}
-
id: 8177007
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 573, 'group_counter': 1699, 'group_order': 1536, 'label': '64B29', 'order': 64, 'powers': [324, 567], 'representative': 700, 'size': 1}
-
id: 8177008
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 574, 'group_counter': 1699, 'group_order': 1536, 'label': '64B-29', 'order': 64, 'powers': [323, 568], 'representative': 844, 'size': 1}
-
id: 8177009
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 575, 'group_counter': 1699, 'group_order': 1536, 'label': '64B31', 'order': 64, 'powers': [322, 573], 'representative': 748, 'size': 1}
-
id: 8177010
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 576, 'group_counter': 1699, 'group_order': 1536, 'label': '64B-31', 'order': 64, 'powers': [321, 574], 'representative': 796, 'size': 1}
-
id: 8177011
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 577, 'group_counter': 1699, 'group_order': 1536, 'label': '64C1', 'order': 64, 'powers': [337, 579], 'representative': 30, 'size': 1}
-
id: 8177012
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 578, 'group_counter': 1699, 'group_order': 1536, 'label': '64C-1', 'order': 64, 'powers': [338, 580], 'representative': 1514, 'size': 1}
-
id: 8177013
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 579, 'group_counter': 1699, 'group_order': 1536, 'label': '64C3', 'order': 64, 'powers': [339, 585], 'representative': 74, 'size': 1}
-
id: 8177015
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 580, 'group_counter': 1699, 'group_order': 1536, 'label': '64C-3', 'order': 64, 'powers': [340, 586], 'representative': 1470, 'size': 1}
-
id: 8177016
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 581, 'group_counter': 1699, 'group_order': 1536, 'label': '64C5', 'order': 64, 'powers': [341, 591], 'representative': 126, 'size': 1}
-
id: 8177017
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 582, 'group_counter': 1699, 'group_order': 1536, 'label': '64C-5', 'order': 64, 'powers': [342, 592], 'representative': 1418, 'size': 1}
-
id: 8177018
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 583, 'group_counter': 1699, 'group_order': 1536, 'label': '64C7', 'order': 64, 'powers': [343, 597], 'representative': 170, 'size': 1}
-
id: 8177019
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 584, 'group_counter': 1699, 'group_order': 1536, 'label': '64C-7', 'order': 64, 'powers': [344, 598], 'representative': 1374, 'size': 1}
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id: 8177020
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 585, 'group_counter': 1699, 'group_order': 1536, 'label': '64C9', 'order': 64, 'powers': [345, 603], 'representative': 222, 'size': 1}
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id: 8177021
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 586, 'group_counter': 1699, 'group_order': 1536, 'label': '64C-9', 'order': 64, 'powers': [346, 604], 'representative': 1322, 'size': 1}
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id: 8177022
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 587, 'group_counter': 1699, 'group_order': 1536, 'label': '64C11', 'order': 64, 'powers': [347, 608], 'representative': 266, 'size': 1}
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id: 8177023
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 588, 'group_counter': 1699, 'group_order': 1536, 'label': '64C-11', 'order': 64, 'powers': [348, 607], 'representative': 1278, 'size': 1}
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id: 8177024
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 589, 'group_counter': 1699, 'group_order': 1536, 'label': '64C13', 'order': 64, 'powers': [349, 602], 'representative': 318, 'size': 1}
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id: 8177026
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 590, 'group_counter': 1699, 'group_order': 1536, 'label': '64C-13', 'order': 64, 'powers': [350, 601], 'representative': 1226, 'size': 1}
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id: 8177027
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 591, 'group_counter': 1699, 'group_order': 1536, 'label': '64C15', 'order': 64, 'powers': [351, 596], 'representative': 362, 'size': 1}
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id: 8177028
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 592, 'group_counter': 1699, 'group_order': 1536, 'label': '64C-15', 'order': 64, 'powers': [352, 595], 'representative': 1182, 'size': 1}
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id: 8177029
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 593, 'group_counter': 1699, 'group_order': 1536, 'label': '64C17', 'order': 64, 'powers': [352, 590], 'representative': 414, 'size': 1}
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id: 8177030
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 594, 'group_counter': 1699, 'group_order': 1536, 'label': '64C-17', 'order': 64, 'powers': [351, 589], 'representative': 1130, 'size': 1}
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id: 8177031
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 595, 'group_counter': 1699, 'group_order': 1536, 'label': '64C19', 'order': 64, 'powers': [350, 584], 'representative': 458, 'size': 1}
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id: 8177032
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 596, 'group_counter': 1699, 'group_order': 1536, 'label': '64C-19', 'order': 64, 'powers': [349, 583], 'representative': 1086, 'size': 1}
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id: 8177033
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 597, 'group_counter': 1699, 'group_order': 1536, 'label': '64C21', 'order': 64, 'powers': [348, 578], 'representative': 510, 'size': 1}
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id: 8177034
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 598, 'group_counter': 1699, 'group_order': 1536, 'label': '64C-21', 'order': 64, 'powers': [347, 577], 'representative': 1034, 'size': 1}
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id: 8177035
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 599, 'group_counter': 1699, 'group_order': 1536, 'label': '64C23', 'order': 64, 'powers': [346, 581], 'representative': 554, 'size': 1}
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id: 8177038
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 600, 'group_counter': 1699, 'group_order': 1536, 'label': '64C-23', 'order': 64, 'powers': [345, 582], 'representative': 990, 'size': 1}
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id: 8177039
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 601, 'group_counter': 1699, 'group_order': 1536, 'label': '64C25', 'order': 64, 'powers': [344, 587], 'representative': 606, 'size': 1}
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id: 8177040
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 602, 'group_counter': 1699, 'group_order': 1536, 'label': '64C-25', 'order': 64, 'powers': [343, 588], 'representative': 938, 'size': 1}
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id: 8177041
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 603, 'group_counter': 1699, 'group_order': 1536, 'label': '64C27', 'order': 64, 'powers': [342, 593], 'representative': 650, 'size': 1}
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id: 8177042
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 604, 'group_counter': 1699, 'group_order': 1536, 'label': '64C-27', 'order': 64, 'powers': [341, 594], 'representative': 894, 'size': 1}
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id: 8177043
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 605, 'group_counter': 1699, 'group_order': 1536, 'label': '64C29', 'order': 64, 'powers': [340, 599], 'representative': 702, 'size': 1}
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id: 8177044
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 606, 'group_counter': 1699, 'group_order': 1536, 'label': '64C-29', 'order': 64, 'powers': [339, 600], 'representative': 842, 'size': 1}
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id: 8177045
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 607, 'group_counter': 1699, 'group_order': 1536, 'label': '64C31', 'order': 64, 'powers': [338, 605], 'representative': 746, 'size': 1}
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id: 8177046
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 608, 'group_counter': 1699, 'group_order': 1536, 'label': '64C-31', 'order': 64, 'powers': [337, 606], 'representative': 798, 'size': 1}
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id: 8177047
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 609, 'group_counter': 1699, 'group_order': 1536, 'label': '64D1', 'order': 64, 'powers': [353, 611], 'representative': 27, 'size': 1}
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id: 8177049
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 610, 'group_counter': 1699, 'group_order': 1536, 'label': '64D-1', 'order': 64, 'powers': [354, 612], 'representative': 1517, 'size': 1}
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id: 8177050
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 611, 'group_counter': 1699, 'group_order': 1536, 'label': '64D3', 'order': 64, 'powers': [355, 617], 'representative': 73, 'size': 1}
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id: 8177051
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 612, 'group_counter': 1699, 'group_order': 1536, 'label': '64D-3', 'order': 64, 'powers': [356, 618], 'representative': 1471, 'size': 1}
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id: 8177052
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 613, 'group_counter': 1699, 'group_order': 1536, 'label': '64D5', 'order': 64, 'powers': [357, 623], 'representative': 127, 'size': 1}
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id: 8177053
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 614, 'group_counter': 1699, 'group_order': 1536, 'label': '64D-5', 'order': 64, 'powers': [358, 624], 'representative': 1417, 'size': 1}
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id: 8177054
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 615, 'group_counter': 1699, 'group_order': 1536, 'label': '64D7', 'order': 64, 'powers': [359, 629], 'representative': 173, 'size': 1}
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id: 8177055
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 616, 'group_counter': 1699, 'group_order': 1536, 'label': '64D-7', 'order': 64, 'powers': [360, 630], 'representative': 1371, 'size': 1}
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id: 8177056
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 617, 'group_counter': 1699, 'group_order': 1536, 'label': '64D9', 'order': 64, 'powers': [361, 635], 'representative': 219, 'size': 1}
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id: 8177057
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 618, 'group_counter': 1699, 'group_order': 1536, 'label': '64D-9', 'order': 64, 'powers': [362, 636], 'representative': 1325, 'size': 1}
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id: 8177058
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 619, 'group_counter': 1699, 'group_order': 1536, 'label': '64D11', 'order': 64, 'powers': [363, 640], 'representative': 265, 'size': 1}
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id: 8177060
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 620, 'group_counter': 1699, 'group_order': 1536, 'label': '64D-11', 'order': 64, 'powers': [364, 639], 'representative': 1279, 'size': 1}
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id: 8177061
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 621, 'group_counter': 1699, 'group_order': 1536, 'label': '64D13', 'order': 64, 'powers': [365, 634], 'representative': 319, 'size': 1}
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id: 8177062
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 622, 'group_counter': 1699, 'group_order': 1536, 'label': '64D-13', 'order': 64, 'powers': [366, 633], 'representative': 1225, 'size': 1}
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id: 8177063
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 623, 'group_counter': 1699, 'group_order': 1536, 'label': '64D15', 'order': 64, 'powers': [367, 628], 'representative': 365, 'size': 1}
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id: 8177064
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 624, 'group_counter': 1699, 'group_order': 1536, 'label': '64D-15', 'order': 64, 'powers': [368, 627], 'representative': 1179, 'size': 1}
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id: 8177065
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 625, 'group_counter': 1699, 'group_order': 1536, 'label': '64D17', 'order': 64, 'powers': [368, 622], 'representative': 411, 'size': 1}
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id: 8177066
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 626, 'group_counter': 1699, 'group_order': 1536, 'label': '64D-17', 'order': 64, 'powers': [367, 621], 'representative': 1133, 'size': 1}
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id: 8177067
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 627, 'group_counter': 1699, 'group_order': 1536, 'label': '64D19', 'order': 64, 'powers': [366, 616], 'representative': 457, 'size': 1}
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id: 8177068
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 628, 'group_counter': 1699, 'group_order': 1536, 'label': '64D-19', 'order': 64, 'powers': [365, 615], 'representative': 1087, 'size': 1}
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id: 8177069
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 629, 'group_counter': 1699, 'group_order': 1536, 'label': '64D21', 'order': 64, 'powers': [364, 610], 'representative': 511, 'size': 1}
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id: 8177071
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 630, 'group_counter': 1699, 'group_order': 1536, 'label': '64D-21', 'order': 64, 'powers': [363, 609], 'representative': 1033, 'size': 1}
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id: 8177072
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 631, 'group_counter': 1699, 'group_order': 1536, 'label': '64D23', 'order': 64, 'powers': [362, 613], 'representative': 557, 'size': 1}
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id: 8177073
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 632, 'group_counter': 1699, 'group_order': 1536, 'label': '64D-23', 'order': 64, 'powers': [361, 614], 'representative': 987, 'size': 1}
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id: 8177074
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 633, 'group_counter': 1699, 'group_order': 1536, 'label': '64D25', 'order': 64, 'powers': [360, 619], 'representative': 603, 'size': 1}
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id: 8177075
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 634, 'group_counter': 1699, 'group_order': 1536, 'label': '64D-25', 'order': 64, 'powers': [359, 620], 'representative': 941, 'size': 1}
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id: 8177076
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 635, 'group_counter': 1699, 'group_order': 1536, 'label': '64D27', 'order': 64, 'powers': [358, 625], 'representative': 649, 'size': 1}
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id: 8177077
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 636, 'group_counter': 1699, 'group_order': 1536, 'label': '64D-27', 'order': 64, 'powers': [357, 626], 'representative': 895, 'size': 1}
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id: 8177078
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 637, 'group_counter': 1699, 'group_order': 1536, 'label': '64D29', 'order': 64, 'powers': [356, 631], 'representative': 703, 'size': 1}
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id: 8177079
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 638, 'group_counter': 1699, 'group_order': 1536, 'label': '64D-29', 'order': 64, 'powers': [355, 632], 'representative': 841, 'size': 1}
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id: 8177080
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 639, 'group_counter': 1699, 'group_order': 1536, 'label': '64D31', 'order': 64, 'powers': [354, 637], 'representative': 749, 'size': 1}
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id: 8177082
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 640, 'group_counter': 1699, 'group_order': 1536, 'label': '64D-31', 'order': 64, 'powers': [353, 638], 'representative': 795, 'size': 1}
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id: 8177083
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 641, 'group_counter': 1699, 'group_order': 1536, 'label': '64E1', 'order': 64, 'powers': [337, 643], 'representative': 26, 'size': 1}
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id: 8177084
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 642, 'group_counter': 1699, 'group_order': 1536, 'label': '64E-1', 'order': 64, 'powers': [338, 644], 'representative': 1518, 'size': 1}
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id: 8177085
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 643, 'group_counter': 1699, 'group_order': 1536, 'label': '64E3', 'order': 64, 'powers': [339, 649], 'representative': 78, 'size': 1}
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id: 8177086
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 644, 'group_counter': 1699, 'group_order': 1536, 'label': '64E-3', 'order': 64, 'powers': [340, 650], 'representative': 1466, 'size': 1}
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id: 8177087
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 645, 'group_counter': 1699, 'group_order': 1536, 'label': '64E5', 'order': 64, 'powers': [341, 655], 'representative': 122, 'size': 1}
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id: 8177088
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 646, 'group_counter': 1699, 'group_order': 1536, 'label': '64E-5', 'order': 64, 'powers': [342, 656], 'representative': 1422, 'size': 1}
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id: 8177089
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 647, 'group_counter': 1699, 'group_order': 1536, 'label': '64E7', 'order': 64, 'powers': [343, 661], 'representative': 174, 'size': 1}
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id: 8177090
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 648, 'group_counter': 1699, 'group_order': 1536, 'label': '64E-7', 'order': 64, 'powers': [344, 662], 'representative': 1370, 'size': 1}
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id: 8177091
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 649, 'group_counter': 1699, 'group_order': 1536, 'label': '64E9', 'order': 64, 'powers': [345, 667], 'representative': 218, 'size': 1}
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id: 8177093
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 650, 'group_counter': 1699, 'group_order': 1536, 'label': '64E-9', 'order': 64, 'powers': [346, 668], 'representative': 1326, 'size': 1}
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id: 8177094
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 651, 'group_counter': 1699, 'group_order': 1536, 'label': '64E11', 'order': 64, 'powers': [347, 672], 'representative': 270, 'size': 1}
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id: 8177095
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 652, 'group_counter': 1699, 'group_order': 1536, 'label': '64E-11', 'order': 64, 'powers': [348, 671], 'representative': 1274, 'size': 1}
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id: 8177096
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 653, 'group_counter': 1699, 'group_order': 1536, 'label': '64E13', 'order': 64, 'powers': [349, 666], 'representative': 314, 'size': 1}
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id: 8177097
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 654, 'group_counter': 1699, 'group_order': 1536, 'label': '64E-13', 'order': 64, 'powers': [350, 665], 'representative': 1230, 'size': 1}
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id: 8177098
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 655, 'group_counter': 1699, 'group_order': 1536, 'label': '64E15', 'order': 64, 'powers': [351, 660], 'representative': 366, 'size': 1}
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id: 8177099
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 656, 'group_counter': 1699, 'group_order': 1536, 'label': '64E-15', 'order': 64, 'powers': [352, 659], 'representative': 1178, 'size': 1}
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id: 8177100
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 657, 'group_counter': 1699, 'group_order': 1536, 'label': '64E17', 'order': 64, 'powers': [352, 654], 'representative': 410, 'size': 1}
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id: 8177101
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 658, 'group_counter': 1699, 'group_order': 1536, 'label': '64E-17', 'order': 64, 'powers': [351, 653], 'representative': 1134, 'size': 1}
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id: 8177102
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 659, 'group_counter': 1699, 'group_order': 1536, 'label': '64E19', 'order': 64, 'powers': [350, 648], 'representative': 462, 'size': 1}
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id: 8177104
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 660, 'group_counter': 1699, 'group_order': 1536, 'label': '64E-19', 'order': 64, 'powers': [349, 647], 'representative': 1082, 'size': 1}
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id: 8177105
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 661, 'group_counter': 1699, 'group_order': 1536, 'label': '64E21', 'order': 64, 'powers': [348, 642], 'representative': 506, 'size': 1}
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id: 8177106
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 662, 'group_counter': 1699, 'group_order': 1536, 'label': '64E-21', 'order': 64, 'powers': [347, 641], 'representative': 1038, 'size': 1}
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id: 8177107
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 663, 'group_counter': 1699, 'group_order': 1536, 'label': '64E23', 'order': 64, 'powers': [346, 645], 'representative': 558, 'size': 1}
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id: 8177108
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 664, 'group_counter': 1699, 'group_order': 1536, 'label': '64E-23', 'order': 64, 'powers': [345, 646], 'representative': 986, 'size': 1}
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id: 8177109
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 665, 'group_counter': 1699, 'group_order': 1536, 'label': '64E25', 'order': 64, 'powers': [344, 651], 'representative': 602, 'size': 1}
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id: 8177110
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 666, 'group_counter': 1699, 'group_order': 1536, 'label': '64E-25', 'order': 64, 'powers': [343, 652], 'representative': 942, 'size': 1}
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id: 8177111
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 667, 'group_counter': 1699, 'group_order': 1536, 'label': '64E27', 'order': 64, 'powers': [342, 657], 'representative': 654, 'size': 1}
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id: 8177112
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 668, 'group_counter': 1699, 'group_order': 1536, 'label': '64E-27', 'order': 64, 'powers': [341, 658], 'representative': 890, 'size': 1}
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id: 8177113
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 669, 'group_counter': 1699, 'group_order': 1536, 'label': '64E29', 'order': 64, 'powers': [340, 663], 'representative': 698, 'size': 1}
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id: 8177115
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 670, 'group_counter': 1699, 'group_order': 1536, 'label': '64E-29', 'order': 64, 'powers': [339, 664], 'representative': 846, 'size': 1}
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id: 8177116
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 671, 'group_counter': 1699, 'group_order': 1536, 'label': '64E31', 'order': 64, 'powers': [338, 669], 'representative': 750, 'size': 1}
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id: 8177117
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 672, 'group_counter': 1699, 'group_order': 1536, 'label': '64E-31', 'order': 64, 'powers': [337, 670], 'representative': 794, 'size': 1}
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id: 8177118
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 673, 'group_counter': 1699, 'group_order': 1536, 'label': '64F1', 'order': 64, 'powers': [357, 675], 'representative': 123, 'size': 1}
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id: 8177119
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 674, 'group_counter': 1699, 'group_order': 1536, 'label': '64F-1', 'order': 64, 'powers': [358, 676], 'representative': 1421, 'size': 1}
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id: 8177120
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 675, 'group_counter': 1699, 'group_order': 1536, 'label': '64F3', 'order': 64, 'powers': [367, 681], 'representative': 361, 'size': 1}
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id: 8177121
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 676, 'group_counter': 1699, 'group_order': 1536, 'label': '64F-3', 'order': 64, 'powers': [368, 682], 'representative': 1183, 'size': 1}
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id: 8177122
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 677, 'group_counter': 1699, 'group_order': 1536, 'label': '64F5', 'order': 64, 'powers': [360, 687], 'representative': 607, 'size': 1}
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id: 8177123
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id: 8177124
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id: 8177126
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id: 8177127
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 681, 'group_counter': 1699, 'group_order': 1536, 'label': '64F9', 'order': 64, 'powers': [365, 699], 'representative': 1083, 'size': 1}
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id: 8177128
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 682, 'group_counter': 1699, 'group_order': 1536, 'label': '64F-9', 'order': 64, 'powers': [366, 700], 'representative': 461, 'size': 1}
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id: 8177129
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 683, 'group_counter': 1699, 'group_order': 1536, 'label': '64F11', 'order': 64, 'powers': [362, 704], 'representative': 1321, 'size': 1}
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id: 8177130
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 684, 'group_counter': 1699, 'group_order': 1536, 'label': '64F-11', 'order': 64, 'powers': [361, 703], 'representative': 223, 'size': 1}
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id: 8177131
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 685, 'group_counter': 1699, 'group_order': 1536, 'label': '64F13', 'order': 64, 'powers': [353, 698], 'representative': 31, 'size': 1}
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id: 8177132
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 686, 'group_counter': 1699, 'group_order': 1536, 'label': '64F-13', 'order': 64, 'powers': [354, 697], 'representative': 1513, 'size': 1}
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id: 8177133
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 687, 'group_counter': 1699, 'group_order': 1536, 'label': '64F15', 'order': 64, 'powers': [363, 692], 'representative': 269, 'size': 1}
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id: 8177134
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 688, 'group_counter': 1699, 'group_order': 1536, 'label': '64F-15', 'order': 64, 'powers': [364, 691], 'representative': 1275, 'size': 1}
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id: 8177135
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 689, 'group_counter': 1699, 'group_order': 1536, 'label': '64F17', 'order': 64, 'powers': [364, 686], 'representative': 507, 'size': 1}
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id: 8177137
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 690, 'group_counter': 1699, 'group_order': 1536, 'label': '64F-17', 'order': 64, 'powers': [363, 685], 'representative': 1037, 'size': 1}
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id: 8177138
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 691, 'group_counter': 1699, 'group_order': 1536, 'label': '64F19', 'order': 64, 'powers': [354, 680], 'representative': 745, 'size': 1}
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id: 8177139
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 692, 'group_counter': 1699, 'group_order': 1536, 'label': '64F-19', 'order': 64, 'powers': [353, 679], 'representative': 799, 'size': 1}
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id: 8177140
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 693, 'group_counter': 1699, 'group_order': 1536, 'label': '64F21', 'order': 64, 'powers': [361, 674], 'representative': 991, 'size': 1}
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id: 8177141
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 694, 'group_counter': 1699, 'group_order': 1536, 'label': '64F-21', 'order': 64, 'powers': [362, 673], 'representative': 553, 'size': 1}
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id: 8177142
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 695, 'group_counter': 1699, 'group_order': 1536, 'label': '64F23', 'order': 64, 'powers': [366, 677], 'representative': 1229, 'size': 1}
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id: 8177143
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 696, 'group_counter': 1699, 'group_order': 1536, 'label': '64F-23', 'order': 64, 'powers': [365, 678], 'representative': 315, 'size': 1}
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id: 8177144
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 697, 'group_counter': 1699, 'group_order': 1536, 'label': '64F25', 'order': 64, 'powers': [356, 683], 'representative': 1467, 'size': 1}
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id: 8177145
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 698, 'group_counter': 1699, 'group_order': 1536, 'label': '64F-25', 'order': 64, 'powers': [355, 684], 'representative': 77, 'size': 1}
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id: 8177146
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 699, 'group_counter': 1699, 'group_order': 1536, 'label': '64F27', 'order': 64, 'powers': [359, 689], 'representative': 169, 'size': 1}
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id: 8177149
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 700, 'group_counter': 1699, 'group_order': 1536, 'label': '64F-27', 'order': 64, 'powers': [360, 690], 'representative': 1375, 'size': 1}
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id: 8177150
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 701, 'group_counter': 1699, 'group_order': 1536, 'label': '64F29', 'order': 64, 'powers': [368, 695], 'representative': 415, 'size': 1}
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id: 8177151
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 702, 'group_counter': 1699, 'group_order': 1536, 'label': '64F-29', 'order': 64, 'powers': [367, 696], 'representative': 1129, 'size': 1}
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id: 8177152
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 703, 'group_counter': 1699, 'group_order': 1536, 'label': '64F31', 'order': 64, 'powers': [358, 701], 'representative': 653, 'size': 1}
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id: 8177153
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 704, 'group_counter': 1699, 'group_order': 1536, 'label': '64F-31', 'order': 64, 'powers': [357, 702], 'representative': 891, 'size': 1}
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id: 8177154
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 705, 'group_counter': 1699, 'group_order': 1536, 'label': '64G1', 'order': 64, 'powers': [369, 707], 'representative': 25, 'size': 1}
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id: 8177155
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 706, 'group_counter': 1699, 'group_order': 1536, 'label': '64G-1', 'order': 64, 'powers': [370, 708], 'representative': 1519, 'size': 1}
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id: 8177156
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 707, 'group_counter': 1699, 'group_order': 1536, 'label': '64G3', 'order': 64, 'powers': [371, 713], 'representative': 75, 'size': 1}
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id: 8177157
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 708, 'group_counter': 1699, 'group_order': 1536, 'label': '64G-3', 'order': 64, 'powers': [372, 714], 'representative': 1469, 'size': 1}
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id: 8177158
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 709, 'group_counter': 1699, 'group_order': 1536, 'label': '64G5', 'order': 64, 'powers': [373, 719], 'representative': 125, 'size': 1}
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id: 8177160
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 710, 'group_counter': 1699, 'group_order': 1536, 'label': '64G-5', 'order': 64, 'powers': [374, 720], 'representative': 1419, 'size': 1}
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id: 8177161
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 711, 'group_counter': 1699, 'group_order': 1536, 'label': '64G7', 'order': 64, 'powers': [375, 725], 'representative': 175, 'size': 1}
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id: 8177162
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 712, 'group_counter': 1699, 'group_order': 1536, 'label': '64G-7', 'order': 64, 'powers': [376, 726], 'representative': 1369, 'size': 1}
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id: 8177163
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 713, 'group_counter': 1699, 'group_order': 1536, 'label': '64G9', 'order': 64, 'powers': [377, 731], 'representative': 217, 'size': 1}
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id: 8177164
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 714, 'group_counter': 1699, 'group_order': 1536, 'label': '64G-9', 'order': 64, 'powers': [378, 732], 'representative': 1327, 'size': 1}
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id: 8177165
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 715, 'group_counter': 1699, 'group_order': 1536, 'label': '64G11', 'order': 64, 'powers': [379, 736], 'representative': 267, 'size': 1}
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id: 8177166
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 716, 'group_counter': 1699, 'group_order': 1536, 'label': '64G-11', 'order': 64, 'powers': [380, 735], 'representative': 1277, 'size': 1}
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id: 8177167
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 717, 'group_counter': 1699, 'group_order': 1536, 'label': '64G13', 'order': 64, 'powers': [381, 730], 'representative': 317, 'size': 1}
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id: 8177168
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 718, 'group_counter': 1699, 'group_order': 1536, 'label': '64G-13', 'order': 64, 'powers': [382, 729], 'representative': 1227, 'size': 1}
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id: 8177169
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 719, 'group_counter': 1699, 'group_order': 1536, 'label': '64G15', 'order': 64, 'powers': [383, 724], 'representative': 367, 'size': 1}
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id: 8177171
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 720, 'group_counter': 1699, 'group_order': 1536, 'label': '64G-15', 'order': 64, 'powers': [384, 723], 'representative': 1177, 'size': 1}
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id: 8177172
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 721, 'group_counter': 1699, 'group_order': 1536, 'label': '64G17', 'order': 64, 'powers': [384, 718], 'representative': 409, 'size': 1}
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id: 8177173
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 722, 'group_counter': 1699, 'group_order': 1536, 'label': '64G-17', 'order': 64, 'powers': [383, 717], 'representative': 1135, 'size': 1}
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id: 8177174
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 723, 'group_counter': 1699, 'group_order': 1536, 'label': '64G19', 'order': 64, 'powers': [382, 712], 'representative': 459, 'size': 1}
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id: 8177175
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 724, 'group_counter': 1699, 'group_order': 1536, 'label': '64G-19', 'order': 64, 'powers': [381, 711], 'representative': 1085, 'size': 1}
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id: 8177176
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 725, 'group_counter': 1699, 'group_order': 1536, 'label': '64G21', 'order': 64, 'powers': [380, 706], 'representative': 509, 'size': 1}
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id: 8177177
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 726, 'group_counter': 1699, 'group_order': 1536, 'label': '64G-21', 'order': 64, 'powers': [379, 705], 'representative': 1035, 'size': 1}
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id: 8177178
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 727, 'group_counter': 1699, 'group_order': 1536, 'label': '64G23', 'order': 64, 'powers': [378, 709], 'representative': 559, 'size': 1}
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id: 8177179
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 728, 'group_counter': 1699, 'group_order': 1536, 'label': '64G-23', 'order': 64, 'powers': [377, 710], 'representative': 985, 'size': 1}
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id: 8177180
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 729, 'group_counter': 1699, 'group_order': 1536, 'label': '64G25', 'order': 64, 'powers': [376, 715], 'representative': 601, 'size': 1}
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id: 8177182
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 730, 'group_counter': 1699, 'group_order': 1536, 'label': '64G-25', 'order': 64, 'powers': [375, 716], 'representative': 943, 'size': 1}
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id: 8177183
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 731, 'group_counter': 1699, 'group_order': 1536, 'label': '64G27', 'order': 64, 'powers': [374, 721], 'representative': 651, 'size': 1}
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id: 8177184
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 732, 'group_counter': 1699, 'group_order': 1536, 'label': '64G-27', 'order': 64, 'powers': [373, 722], 'representative': 893, 'size': 1}
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id: 8177185
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 733, 'group_counter': 1699, 'group_order': 1536, 'label': '64G29', 'order': 64, 'powers': [372, 727], 'representative': 701, 'size': 1}
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id: 8177186
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 734, 'group_counter': 1699, 'group_order': 1536, 'label': '64G-29', 'order': 64, 'powers': [371, 728], 'representative': 843, 'size': 1}
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id: 8177187
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 735, 'group_counter': 1699, 'group_order': 1536, 'label': '64G31', 'order': 64, 'powers': [370, 733], 'representative': 751, 'size': 1}
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id: 8177188
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 736, 'group_counter': 1699, 'group_order': 1536, 'label': '64G-31', 'order': 64, 'powers': [369, 734], 'representative': 793, 'size': 1}
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id: 8177189
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 737, 'group_counter': 1699, 'group_order': 1536, 'label': '64H1', 'order': 64, 'powers': [375, 739], 'representative': 171, 'size': 1}
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id: 8177190
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 738, 'group_counter': 1699, 'group_order': 1536, 'label': '64H-1', 'order': 64, 'powers': [376, 740], 'representative': 1373, 'size': 1}
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id: 8177191
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 739, 'group_counter': 1699, 'group_order': 1536, 'label': '64H3', 'order': 64, 'powers': [380, 745], 'representative': 505, 'size': 1}
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id: 8177193
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 740, 'group_counter': 1699, 'group_order': 1536, 'label': '64H-3', 'order': 64, 'powers': [379, 746], 'representative': 1039, 'size': 1}
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id: 8177194
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 741, 'group_counter': 1699, 'group_order': 1536, 'label': '64H5', 'order': 64, 'powers': [371, 751], 'representative': 847, 'size': 1}
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id: 8177195
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 742, 'group_counter': 1699, 'group_order': 1536, 'label': '64H-5', 'order': 64, 'powers': [372, 752], 'representative': 697, 'size': 1}
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id: 8177196
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 743, 'group_counter': 1699, 'group_order': 1536, 'label': '64H7', 'order': 64, 'powers': [384, 757], 'representative': 1181, 'size': 1}
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id: 8177197
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 744, 'group_counter': 1699, 'group_order': 1536, 'label': '64H-7', 'order': 64, 'powers': [383, 758], 'representative': 363, 'size': 1}
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id: 8177198
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 745, 'group_counter': 1699, 'group_order': 1536, 'label': '64H9', 'order': 64, 'powers': [370, 763], 'representative': 1515, 'size': 1}
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id: 8177199
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 746, 'group_counter': 1699, 'group_order': 1536, 'label': '64H-9', 'order': 64, 'powers': [369, 764], 'representative': 29, 'size': 1}
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id: 8177200
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 747, 'group_counter': 1699, 'group_order': 1536, 'label': '64H11', 'order': 64, 'powers': [381, 768], 'representative': 313, 'size': 1}
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id: 8177201
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 748, 'group_counter': 1699, 'group_order': 1536, 'label': '64H-11', 'order': 64, 'powers': [382, 767], 'representative': 1231, 'size': 1}
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id: 8177202
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 749, 'group_counter': 1699, 'group_order': 1536, 'label': '64H13', 'order': 64, 'powers': [374, 762], 'representative': 655, 'size': 1}
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id: 8177204
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 750, 'group_counter': 1699, 'group_order': 1536, 'label': '64H-13', 'order': 64, 'powers': [373, 761], 'representative': 889, 'size': 1}
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id: 8177205
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 751, 'group_counter': 1699, 'group_order': 1536, 'label': '64H15', 'order': 64, 'powers': [377, 756], 'representative': 989, 'size': 1}
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id: 8177206
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 752, 'group_counter': 1699, 'group_order': 1536, 'label': '64H-15', 'order': 64, 'powers': [378, 755], 'representative': 555, 'size': 1}
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id: 8177207
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 753, 'group_counter': 1699, 'group_order': 1536, 'label': '64H17', 'order': 64, 'powers': [378, 750], 'representative': 1323, 'size': 1}
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id: 8177208
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 754, 'group_counter': 1699, 'group_order': 1536, 'label': '64H-17', 'order': 64, 'powers': [377, 749], 'representative': 221, 'size': 1}
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id: 8177209
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 755, 'group_counter': 1699, 'group_order': 1536, 'label': '64H19', 'order': 64, 'powers': [373, 744], 'representative': 121, 'size': 1}
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id: 8177210
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 756, 'group_counter': 1699, 'group_order': 1536, 'label': '64H-19', 'order': 64, 'powers': [374, 743], 'representative': 1423, 'size': 1}
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id: 8177211
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 757, 'group_counter': 1699, 'group_order': 1536, 'label': '64H21', 'order': 64, 'powers': [382, 738], 'representative': 463, 'size': 1}
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id: 8177212
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 758, 'group_counter': 1699, 'group_order': 1536, 'label': '64H-21', 'order': 64, 'powers': [381, 737], 'representative': 1081, 'size': 1}
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id: 8177213
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 759, 'group_counter': 1699, 'group_order': 1536, 'label': '64H23', 'order': 64, 'powers': [369, 741], 'representative': 797, 'size': 1}
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id: 8177215
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 760, 'group_counter': 1699, 'group_order': 1536, 'label': '64H-23', 'order': 64, 'powers': [370, 742], 'representative': 747, 'size': 1}
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id: 8177216
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 761, 'group_counter': 1699, 'group_order': 1536, 'label': '64H25', 'order': 64, 'powers': [383, 747], 'representative': 1131, 'size': 1}
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id: 8177217
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 762, 'group_counter': 1699, 'group_order': 1536, 'label': '64H-25', 'order': 64, 'powers': [384, 748], 'representative': 413, 'size': 1}
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id: 8177218
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 763, 'group_counter': 1699, 'group_order': 1536, 'label': '64H27', 'order': 64, 'powers': [372, 753], 'representative': 1465, 'size': 1}
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id: 8177219
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 764, 'group_counter': 1699, 'group_order': 1536, 'label': '64H-27', 'order': 64, 'powers': [371, 754], 'representative': 79, 'size': 1}
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id: 8177220
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 765, 'group_counter': 1699, 'group_order': 1536, 'label': '64H29', 'order': 64, 'powers': [379, 759], 'representative': 271, 'size': 1}
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id: 8177221
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 766, 'group_counter': 1699, 'group_order': 1536, 'label': '64H-29', 'order': 64, 'powers': [380, 760], 'representative': 1273, 'size': 1}
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id: 8177222
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 767, 'group_counter': 1699, 'group_order': 1536, 'label': '64H31', 'order': 64, 'powers': [376, 765], 'representative': 605, 'size': 1}
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id: 8177223
{'aut_label': '64A1', 'centralizer': '1.a1', 'counter': 768, 'group_counter': 1699, 'group_order': 1536, 'label': '64H-31', 'order': 64, 'powers': [375, 766], 'representative': 939, 'size': 1}
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id: 8177224
{'aut_label': '96A1', 'centralizer': '1.a1', 'counter': 769, 'group_counter': 1699, 'group_order': 1536, 'label': '96A1', 'order': 96, 'powers': [449, 257], 'representative': 17, 'size': 1}
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id: 8177226
{'aut_label': '96A1', 'centralizer': '1.a1', 'counter': 770, 'group_counter': 1699, 'group_order': 1536, 'label': '96A-1', 'order': 96, 'powers': [450, 258], 'representative': 1527, 'size': 1}
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id: 8177227
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id: 8177228
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id: 8177229
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id: 8177230
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id: 8177231
{'aut_label': '96A1', 'centralizer': '1.a1', 'counter': 775, 'group_counter': 1699, 'group_order': 1536, 'label': '96A11', 'order': 96, 'powers': [455, 267], 'representative': 179, 'size': 1}
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id: 8177232
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id: 8177233
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id: 8177234
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id: 8177235
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id: 8177237
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id: 8177238
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id: 8177239
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id: 8177240
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id: 8177241
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id: 8177242
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id: 8177243
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id: 8177244
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id: 8177245
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id: 8177246
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id: 8177248
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id: 8177249
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id: 8177250
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id: 8177251
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id: 8177252
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id: 8177253
{'aut_label': '96A1', 'centralizer': '1.a1', 'counter': 795, 'group_counter': 1699, 'group_order': 1536, 'label': '96A41', 'order': 96, 'powers': [454, 265], 'representative': 657, 'size': 1}
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id: 8177254
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id: 8177255
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id: 8177256
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id: 8177257
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id: 8177260
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id: 8177261
{'aut_label': '96A1', 'centralizer': '1.a1', 'counter': 801, 'group_counter': 1699, 'group_order': 1536, 'label': '96B1', 'order': 96, 'powers': [451, 273], 'representative': 81, 'size': 1}
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id: 8177262
{'aut_label': '96A1', 'centralizer': '1.a1', 'counter': 802, 'group_counter': 1699, 'group_order': 1536, 'label': '96B-1', 'order': 96, 'powers': [452, 274], 'representative': 1463, 'size': 1}
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id: 8177263
{'aut_label': '96A1', 'centralizer': '1.a1', 'counter': 803, 'group_counter': 1699, 'group_order': 1536, 'label': '96B5', 'order': 96, 'powers': [464, 277], 'representative': 405, 'size': 1}
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id: 8177264
{'aut_label': '96A1', 'centralizer': '1.a1', 'counter': 804, 'group_counter': 1699, 'group_order': 1536, 'label': '96B-5', 'order': 96, 'powers': [463, 278], 'representative': 1139, 'size': 1}
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id: 8177265
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id: 8177266
{'aut_label': '96A1', 'centralizer': '1.a1', 'counter': 806, 'group_counter': 1699, 'group_order': 1536, 'label': '96B-7', 'order': 96, 'powers': [457, 280], 'representative': 977, 'size': 1}
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id: 8177267
{'aut_label': '96A1', 'centralizer': '1.a1', 'counter': 807, 'group_counter': 1699, 'group_order': 1536, 'label': '96B11', 'order': 96, 'powers': [453, 283], 'representative': 883, 'size': 1}
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id: 8177268
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id: 8177269
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id: 8177271
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id: 8177272
{'aut_label': '96A1', 'centralizer': '1.a1', 'counter': 811, 'group_counter': 1699, 'group_order': 1536, 'label': '96B17', 'order': 96, 'powers': [456, 288], 'representative': 1361, 'size': 1}
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id: 8177273
{'aut_label': '96A1', 'centralizer': '1.a1', 'counter': 812, 'group_counter': 1699, 'group_order': 1536, 'label': '96B-17', 'order': 96, 'powers': [455, 287], 'representative': 183, 'size': 1}
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id: 8177274
{'aut_label': '96A1', 'centralizer': '1.a1', 'counter': 813, 'group_counter': 1699, 'group_order': 1536, 'label': '96B19', 'order': 96, 'powers': [450, 286], 'representative': 1523, 'size': 1}
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id: 8177275
{'aut_label': '96A1', 'centralizer': '1.a1', 'counter': 814, 'group_counter': 1699, 'group_order': 1536, 'label': '96B-19', 'order': 96, 'powers': [449, 285], 'representative': 21, 'size': 1}
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id: 8177276
{'aut_label': '96A1', 'centralizer': '1.a1', 'counter': 815, 'group_counter': 1699, 'group_order': 1536, 'label': '96B23', 'order': 96, 'powers': [461, 282], 'representative': 311, 'size': 1}
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id: 8177277
{'aut_label': '96A1', 'centralizer': '1.a1', 'counter': 816, 'group_counter': 1699, 'group_order': 1536, 'label': '96B-23', 'order': 96, 'powers': [462, 281], 'representative': 1233, 'size': 1}
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id: 8177278
{'aut_label': '96A1', 'centralizer': '1.a1', 'counter': 817, 'group_counter': 1699, 'group_order': 1536, 'label': '96B25', 'order': 96, 'powers': [462, 280], 'representative': 465, 'size': 1}
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id: 8177279
{'aut_label': '96A1', 'centralizer': '1.a1', 'counter': 818, 'group_counter': 1699, 'group_order': 1536, 'label': '96B-25', 'order': 96, 'powers': [461, 279], 'representative': 1079, 'size': 1}
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id: 8177280
{'aut_label': '96A1', 'centralizer': '1.a1', 'counter': 819, 'group_counter': 1699, 'group_order': 1536, 'label': '96B29', 'order': 96, 'powers': [449, 276], 'representative': 789, 'size': 1}
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id: 8177282
{'aut_label': '96A1', 'centralizer': '1.a1', 'counter': 820, 'group_counter': 1699, 'group_order': 1536, 'label': '96B-29', 'order': 96, 'powers': [450, 275], 'representative': 755, 'size': 1}
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id: 8177283
{'aut_label': '96A1', 'centralizer': '1.a1', 'counter': 821, 'group_counter': 1699, 'group_order': 1536, 'label': '96B31', 'order': 96, 'powers': [455, 274], 'representative': 951, 'size': 1}
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id: 8177284
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id: 8177285
{'aut_label': '96A1', 'centralizer': '1.a1', 'counter': 823, 'group_counter': 1699, 'group_order': 1536, 'label': '96B35', 'order': 96, 'powers': [460, 275], 'representative': 1267, 'size': 1}
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id: 8177286
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id: 8177287
{'aut_label': '96A1', 'centralizer': '1.a1', 'counter': 825, 'group_counter': 1699, 'group_order': 1536, 'label': '96B37', 'order': 96, 'powers': [454, 277], 'representative': 1429, 'size': 1}
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id: 8177288
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id: 8177289
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id: 8177290
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id: 8177291
{'aut_label': '96A1', 'centralizer': '1.a1', 'counter': 829, 'group_counter': 1699, 'group_order': 1536, 'label': '96B43', 'order': 96, 'powers': [463, 283], 'representative': 371, 'size': 1}
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id: 8177293
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id: 8177294
{'aut_label': '96A1', 'centralizer': '1.a1', 'counter': 831, 'group_counter': 1699, 'group_order': 1536, 'label': '96B47', 'order': 96, 'powers': [452, 287], 'representative': 695, 'size': 1}
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id: 8177295
{'aut_label': '96A1', 'centralizer': '1.a1', 'counter': 832, 'group_counter': 1699, 'group_order': 1536, 'label': '96B-47', 'order': 96, 'powers': [451, 288], 'representative': 849, 'size': 1}
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id: 8177296
{'aut_label': '96A1', 'centralizer': '1.a1', 'counter': 833, 'group_counter': 1699, 'group_order': 1536, 'label': '96C1', 'order': 96, 'powers': [465, 289], 'representative': 19, 'size': 1}
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id: 8177297
{'aut_label': '96A1', 'centralizer': '1.a1', 'counter': 834, 'group_counter': 1699, 'group_order': 1536, 'label': '96C-1', 'order': 96, 'powers': [466, 290], 'representative': 1525, 'size': 1}
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id: 8177298
{'aut_label': '96A1', 'centralizer': '1.a1', 'counter': 835, 'group_counter': 1699, 'group_order': 1536, 'label': '96C5', 'order': 96, 'powers': [467, 293], 'representative': 87, 'size': 1}
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id: 8177299
{'aut_label': '96A1', 'centralizer': '1.a1', 'counter': 836, 'group_counter': 1699, 'group_order': 1536, 'label': '96C-5', 'order': 96, 'powers': [468, 294], 'representative': 1457, 'size': 1}
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id: 8177300
{'aut_label': '96A1', 'centralizer': '1.a1', 'counter': 837, 'group_counter': 1699, 'group_order': 1536, 'label': '96C7', 'order': 96, 'powers': [469, 295], 'representative': 117, 'size': 1}
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id: 8177301
{'aut_label': '96A1', 'centralizer': '1.a1', 'counter': 838, 'group_counter': 1699, 'group_order': 1536, 'label': '96C-7', 'order': 96, 'powers': [470, 296], 'representative': 1427, 'size': 1}
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id: 8177302
{'aut_label': '96A1', 'centralizer': '1.a1', 'counter': 839, 'group_counter': 1699, 'group_order': 1536, 'label': '96C11', 'order': 96, 'powers': [471, 299], 'representative': 177, 'size': 1}
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id: 8177304
{'aut_label': '96A1', 'centralizer': '1.a1', 'counter': 840, 'group_counter': 1699, 'group_order': 1536, 'label': '96C-11', 'order': 96, 'powers': [472, 300], 'representative': 1367, 'size': 1}
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id: 8177305
{'aut_label': '96A1', 'centralizer': '1.a1', 'counter': 841, 'group_counter': 1699, 'group_order': 1536, 'label': '96C13', 'order': 96, 'powers': [473, 301], 'representative': 215, 'size': 1}
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id: 8177306
{'aut_label': '96A1', 'centralizer': '1.a1', 'counter': 842, 'group_counter': 1699, 'group_order': 1536, 'label': '96C-13', 'order': 96, 'powers': [474, 302], 'representative': 1329, 'size': 1}
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id: 8177307
{'aut_label': '96A1', 'centralizer': '1.a1', 'counter': 843, 'group_counter': 1699, 'group_order': 1536, 'label': '96C17', 'order': 96, 'powers': [475, 304], 'representative': 275, 'size': 1}
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id: 8177308
{'aut_label': '96A1', 'centralizer': '1.a1', 'counter': 844, 'group_counter': 1699, 'group_order': 1536, 'label': '96C-17', 'order': 96, 'powers': [476, 303], 'representative': 1269, 'size': 1}
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id: 8177309
{'aut_label': '96A1', 'centralizer': '1.a1', 'counter': 845, 'group_counter': 1699, 'group_order': 1536, 'label': '96C19', 'order': 96, 'powers': [477, 302], 'representative': 305, 'size': 1}
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id: 8177310
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id: 8177311
{'aut_label': '96A1', 'centralizer': '1.a1', 'counter': 847, 'group_counter': 1699, 'group_order': 1536, 'label': '96C23', 'order': 96, 'powers': [479, 298], 'representative': 373, 'size': 1}
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id: 8177312
{'aut_label': '96A1', 'centralizer': '1.a1', 'counter': 848, 'group_counter': 1699, 'group_order': 1536, 'label': '96C-23', 'order': 96, 'powers': [480, 297], 'representative': 1171, 'size': 1}
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id: 8177313
{'aut_label': '96A1', 'centralizer': '1.a1', 'counter': 849, 'group_counter': 1699, 'group_order': 1536, 'label': '96C25', 'order': 96, 'powers': [480, 296], 'representative': 403, 'size': 1}
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id: 8177315
{'aut_label': '96A1', 'centralizer': '1.a1', 'counter': 850, 'group_counter': 1699, 'group_order': 1536, 'label': '96C-25', 'order': 96, 'powers': [479, 295], 'representative': 1141, 'size': 1}
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id: 8177316
{'aut_label': '96A1', 'centralizer': '1.a1', 'counter': 851, 'group_counter': 1699, 'group_order': 1536, 'label': '96C29', 'order': 96, 'powers': [478, 292], 'representative': 471, 'size': 1}
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id: 8177317
{'aut_label': '96A1', 'centralizer': '1.a1', 'counter': 852, 'group_counter': 1699, 'group_order': 1536, 'label': '96C-29', 'order': 96, 'powers': [477, 291], 'representative': 1073, 'size': 1}
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id: 8177318
{'aut_label': '96A1', 'centralizer': '1.a1', 'counter': 853, 'group_counter': 1699, 'group_order': 1536, 'label': '96C31', 'order': 96, 'powers': [476, 290], 'representative': 501, 'size': 1}
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id: 8177319
{'aut_label': '96A1', 'centralizer': '1.a1', 'counter': 854, 'group_counter': 1699, 'group_order': 1536, 'label': '96C-31', 'order': 96, 'powers': [475, 289], 'representative': 1043, 'size': 1}
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id: 8177320
{'aut_label': '96A1', 'centralizer': '1.a1', 'counter': 855, 'group_counter': 1699, 'group_order': 1536, 'label': '96C35', 'order': 96, 'powers': [474, 291], 'representative': 561, 'size': 1}
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id: 8177321
{'aut_label': '96A1', 'centralizer': '1.a1', 'counter': 856, 'group_counter': 1699, 'group_order': 1536, 'label': '96C-35', 'order': 96, 'powers': [473, 292], 'representative': 983, 'size': 1}
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id: 8177322
{'aut_label': '96A1', 'centralizer': '1.a1', 'counter': 857, 'group_counter': 1699, 'group_order': 1536, 'label': '96C37', 'order': 96, 'powers': [472, 293], 'representative': 599, 'size': 1}
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id: 8177323
{'aut_label': '96A1', 'centralizer': '1.a1', 'counter': 858, 'group_counter': 1699, 'group_order': 1536, 'label': '96C-37', 'order': 96, 'powers': [471, 294], 'representative': 945, 'size': 1}
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id: 8177324
{'aut_label': '96A1', 'centralizer': '1.a1', 'counter': 859, 'group_counter': 1699, 'group_order': 1536, 'label': '96C41', 'order': 96, 'powers': [470, 297], 'representative': 659, 'size': 1}
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id: 8177326
{'aut_label': '96A1', 'centralizer': '1.a1', 'counter': 860, 'group_counter': 1699, 'group_order': 1536, 'label': '96C-41', 'order': 96, 'powers': [469, 298], 'representative': 885, 'size': 1}
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id: 8177327
{'aut_label': '96A1', 'centralizer': '1.a1', 'counter': 861, 'group_counter': 1699, 'group_order': 1536, 'label': '96C43', 'order': 96, 'powers': [468, 299], 'representative': 689, 'size': 1}
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id: 8177328
{'aut_label': '96A1', 'centralizer': '1.a1', 'counter': 862, 'group_counter': 1699, 'group_order': 1536, 'label': '96C-43', 'order': 96, 'powers': [467, 300], 'representative': 855, 'size': 1}
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id: 8177329
{'aut_label': '96A1', 'centralizer': '1.a1', 'counter': 863, 'group_counter': 1699, 'group_order': 1536, 'label': '96C47', 'order': 96, 'powers': [466, 303], 'representative': 757, 'size': 1}
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id: 8177330
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id: 8177335
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id: 8177346
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id: 8177348
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id: 8177349
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id: 8177350
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id: 8177351
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id: 8177352
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id: 8177353
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id: 8177354
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id: 8177355
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id: 8177356
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id: 8177357
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id: 8177359
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id: 8177360
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id: 8177361
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id: 8177362
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id: 8177363
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id: 8177364
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id: 8177365
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id: 8177366
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id: 8177367
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id: 8177368
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id: 8177371
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id: 8177372
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id: 8177373
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id: 8177374
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id: 8177375
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id: 8177376
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id: 8177377
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id: 8177378
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id: 8177379
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id: 8177380
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id: 8177382
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id: 8177383
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id: 8177384
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id: 8177385
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id: 8177386
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id: 8177387
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id: 8177388
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id: 8177389
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id: 8177390
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id: 8177391
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id: 8177393
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id: 8177394
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id: 8177395
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id: 8177396
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id: 8177397
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id: 8177398
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id: 8177399
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id: 8177400
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id: 8177401
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id: 8177411
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id: 8177412
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id: 8177413
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id: 8177415
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id: 8177416
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id: 8177417
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id: 8177418
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id: 8177419
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id: 8177420
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id: 8177421
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id: 8177423
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id: 8177428
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id: 8177429
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id: 8177430
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id: 8177431
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id: 8177432
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id: 8177433
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id: 8177434
{'aut_label': '96E1', 'centralizer': '1.a1', 'counter': 958, 'group_counter': 1699, 'group_order': 1536, 'label': '96F-43', 'order': 96, 'powers': [483, 348], 'representative': 852, 'size': 1}
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id: 8177435
{'aut_label': '96E1', 'centralizer': '1.a1', 'counter': 959, 'group_counter': 1699, 'group_order': 1536, 'label': '96F47', 'order': 96, 'powers': [482, 351], 'representative': 756, 'size': 1}
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id: 8177437
{'aut_label': '96E1', 'centralizer': '1.a1', 'counter': 960, 'group_counter': 1699, 'group_order': 1536, 'label': '96F-47', 'order': 96, 'powers': [481, 352], 'representative': 788, 'size': 1}
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id: 8177438
{'aut_label': '96E1', 'centralizer': '1.a1', 'counter': 961, 'group_counter': 1699, 'group_order': 1536, 'label': '96G1', 'order': 96, 'powers': [497, 353], 'representative': 18, 'size': 1}
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id: 8177439
{'aut_label': '96E1', 'centralizer': '1.a1', 'counter': 962, 'group_counter': 1699, 'group_order': 1536, 'label': '96G-1', 'order': 96, 'powers': [498, 354], 'representative': 1526, 'size': 1}
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id: 8177440
{'aut_label': '96E1', 'centralizer': '1.a1', 'counter': 963, 'group_counter': 1699, 'group_order': 1536, 'label': '96G5', 'order': 96, 'powers': [499, 357], 'representative': 82, 'size': 1}
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id: 8177441
{'aut_label': '96E1', 'centralizer': '1.a1', 'counter': 964, 'group_counter': 1699, 'group_order': 1536, 'label': '96G-5', 'order': 96, 'powers': [500, 358], 'representative': 1462, 'size': 1}
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id: 8177442
{'aut_label': '96E1', 'centralizer': '1.a1', 'counter': 965, 'group_counter': 1699, 'group_order': 1536, 'label': '96G7', 'order': 96, 'powers': [501, 359], 'representative': 118, 'size': 1}
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id: 8177443
{'aut_label': '96E1', 'centralizer': '1.a1', 'counter': 966, 'group_counter': 1699, 'group_order': 1536, 'label': '96G-7', 'order': 96, 'powers': [502, 360], 'representative': 1426, 'size': 1}
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id: 8177444
{'aut_label': '96E1', 'centralizer': '1.a1', 'counter': 967, 'group_counter': 1699, 'group_order': 1536, 'label': '96G11', 'order': 96, 'powers': [503, 363], 'representative': 182, 'size': 1}
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id: 8177445
{'aut_label': '96E1', 'centralizer': '1.a1', 'counter': 968, 'group_counter': 1699, 'group_order': 1536, 'label': '96G-11', 'order': 96, 'powers': [504, 364], 'representative': 1362, 'size': 1}
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id: 8177446
{'aut_label': '96E1', 'centralizer': '1.a1', 'counter': 969, 'group_counter': 1699, 'group_order': 1536, 'label': '96G13', 'order': 96, 'powers': [505, 365], 'representative': 210, 'size': 1}
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id: 8177448
{'aut_label': '96E1', 'centralizer': '1.a1', 'counter': 970, 'group_counter': 1699, 'group_order': 1536, 'label': '96G-13', 'order': 96, 'powers': [506, 366], 'representative': 1334, 'size': 1}
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id: 8177449
{'aut_label': '96E1', 'centralizer': '1.a1', 'counter': 971, 'group_counter': 1699, 'group_order': 1536, 'label': '96G17', 'order': 96, 'powers': [507, 368], 'representative': 274, 'size': 1}
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id: 8177450
{'aut_label': '96E1', 'centralizer': '1.a1', 'counter': 972, 'group_counter': 1699, 'group_order': 1536, 'label': '96G-17', 'order': 96, 'powers': [508, 367], 'representative': 1270, 'size': 1}
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id: 8177451
{'aut_label': '96E1', 'centralizer': '1.a1', 'counter': 973, 'group_counter': 1699, 'group_order': 1536, 'label': '96G19', 'order': 96, 'powers': [509, 366], 'representative': 310, 'size': 1}
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id: 8177452
{'aut_label': '96E1', 'centralizer': '1.a1', 'counter': 974, 'group_counter': 1699, 'group_order': 1536, 'label': '96G-19', 'order': 96, 'powers': [510, 365], 'representative': 1234, 'size': 1}
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id: 8177453
{'aut_label': '96E1', 'centralizer': '1.a1', 'counter': 975, 'group_counter': 1699, 'group_order': 1536, 'label': '96G23', 'order': 96, 'powers': [511, 362], 'representative': 374, 'size': 1}
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id: 8177454
{'aut_label': '96E1', 'centralizer': '1.a1', 'counter': 976, 'group_counter': 1699, 'group_order': 1536, 'label': '96G-23', 'order': 96, 'powers': [512, 361], 'representative': 1170, 'size': 1}
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id: 8177455
{'aut_label': '96E1', 'centralizer': '1.a1', 'counter': 977, 'group_counter': 1699, 'group_order': 1536, 'label': '96G25', 'order': 96, 'powers': [512, 360], 'representative': 402, 'size': 1}
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id: 8177456
{'aut_label': '96E1', 'centralizer': '1.a1', 'counter': 978, 'group_counter': 1699, 'group_order': 1536, 'label': '96G-25', 'order': 96, 'powers': [511, 359], 'representative': 1142, 'size': 1}
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id: 8177457
{'aut_label': '96E1', 'centralizer': '1.a1', 'counter': 979, 'group_counter': 1699, 'group_order': 1536, 'label': '96G29', 'order': 96, 'powers': [510, 356], 'representative': 466, 'size': 1}
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id: 8177459
{'aut_label': '96E1', 'centralizer': '1.a1', 'counter': 980, 'group_counter': 1699, 'group_order': 1536, 'label': '96G-29', 'order': 96, 'powers': [509, 355], 'representative': 1078, 'size': 1}
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id: 8177460
{'aut_label': '96E1', 'centralizer': '1.a1', 'counter': 981, 'group_counter': 1699, 'group_order': 1536, 'label': '96G31', 'order': 96, 'powers': [508, 354], 'representative': 502, 'size': 1}
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id: 8177461
{'aut_label': '96E1', 'centralizer': '1.a1', 'counter': 982, 'group_counter': 1699, 'group_order': 1536, 'label': '96G-31', 'order': 96, 'powers': [507, 353], 'representative': 1042, 'size': 1}
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id: 8177462
{'aut_label': '96E1', 'centralizer': '1.a1', 'counter': 983, 'group_counter': 1699, 'group_order': 1536, 'label': '96G35', 'order': 96, 'powers': [506, 355], 'representative': 566, 'size': 1}
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id: 8177463
{'aut_label': '96E1', 'centralizer': '1.a1', 'counter': 984, 'group_counter': 1699, 'group_order': 1536, 'label': '96G-35', 'order': 96, 'powers': [505, 356], 'representative': 978, 'size': 1}
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id: 8177464
{'aut_label': '96E1', 'centralizer': '1.a1', 'counter': 985, 'group_counter': 1699, 'group_order': 1536, 'label': '96G37', 'order': 96, 'powers': [504, 357], 'representative': 594, 'size': 1}
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id: 8177465
{'aut_label': '96E1', 'centralizer': '1.a1', 'counter': 986, 'group_counter': 1699, 'group_order': 1536, 'label': '96G-37', 'order': 96, 'powers': [503, 358], 'representative': 950, 'size': 1}
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id: 8177466
{'aut_label': '96E1', 'centralizer': '1.a1', 'counter': 987, 'group_counter': 1699, 'group_order': 1536, 'label': '96G41', 'order': 96, 'powers': [502, 361], 'representative': 658, 'size': 1}
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id: 8177467
{'aut_label': '96E1', 'centralizer': '1.a1', 'counter': 988, 'group_counter': 1699, 'group_order': 1536, 'label': '96G-41', 'order': 96, 'powers': [501, 362], 'representative': 886, 'size': 1}
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id: 8177468
{'aut_label': '96E1', 'centralizer': '1.a1', 'counter': 989, 'group_counter': 1699, 'group_order': 1536, 'label': '96G43', 'order': 96, 'powers': [500, 363], 'representative': 694, 'size': 1}
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id: 8177470
{'aut_label': '96E1', 'centralizer': '1.a1', 'counter': 990, 'group_counter': 1699, 'group_order': 1536, 'label': '96G-43', 'order': 96, 'powers': [499, 364], 'representative': 850, 'size': 1}
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id: 8177471
{'aut_label': '96E1', 'centralizer': '1.a1', 'counter': 991, 'group_counter': 1699, 'group_order': 1536, 'label': '96G47', 'order': 96, 'powers': [498, 367], 'representative': 758, 'size': 1}
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id: 8177472
{'aut_label': '96E1', 'centralizer': '1.a1', 'counter': 992, 'group_counter': 1699, 'group_order': 1536, 'label': '96G-47', 'order': 96, 'powers': [497, 368], 'representative': 786, 'size': 1}
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id: 8177473
{'aut_label': '96E1', 'centralizer': '1.a1', 'counter': 993, 'group_counter': 1699, 'group_order': 1536, 'label': '96H1', 'order': 96, 'powers': [497, 369], 'representative': 22, 'size': 1}
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id: 8177474
{'aut_label': '96E1', 'centralizer': '1.a1', 'counter': 994, 'group_counter': 1699, 'group_order': 1536, 'label': '96H-1', 'order': 96, 'powers': [498, 370], 'representative': 1522, 'size': 1}
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id: 8177475
{'aut_label': '96E1', 'centralizer': '1.a1', 'counter': 995, 'group_counter': 1699, 'group_order': 1536, 'label': '96H5', 'order': 96, 'powers': [499, 373], 'representative': 86, 'size': 1}
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id: 8177476
{'aut_label': '96E1', 'centralizer': '1.a1', 'counter': 996, 'group_counter': 1699, 'group_order': 1536, 'label': '96H-5', 'order': 96, 'powers': [500, 374], 'representative': 1458, 'size': 1}
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id: 8177477
{'aut_label': '96E1', 'centralizer': '1.a1', 'counter': 997, 'group_counter': 1699, 'group_order': 1536, 'label': '96H7', 'order': 96, 'powers': [501, 375], 'representative': 114, 'size': 1}
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id: 8177478
{'aut_label': '96E1', 'centralizer': '1.a1', 'counter': 998, 'group_counter': 1699, 'group_order': 1536, 'label': '96H-7', 'order': 96, 'powers': [502, 376], 'representative': 1430, 'size': 1}
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id: 8177479
{'aut_label': '96E1', 'centralizer': '1.a1', 'counter': 999, 'group_counter': 1699, 'group_order': 1536, 'label': '96H11', 'order': 96, 'powers': [503, 379], 'representative': 178, 'size': 1}
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id: 8175947
{'aut_label': '96E1', 'centralizer': '1.a1', 'counter': 1000, 'group_counter': 1699, 'group_order': 1536, 'label': '96H-11', 'order': 96, 'powers': [504, 380], 'representative': 1366, 'size': 1}
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id: 8175948
{'aut_label': '96E1', 'centralizer': '1.a1', 'counter': 1001, 'group_counter': 1699, 'group_order': 1536, 'label': '96H13', 'order': 96, 'powers': [505, 381], 'representative': 214, 'size': 1}
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id: 8175949
{'aut_label': '96E1', 'centralizer': '1.a1', 'counter': 1002, 'group_counter': 1699, 'group_order': 1536, 'label': '96H-13', 'order': 96, 'powers': [506, 382], 'representative': 1330, 'size': 1}
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id: 8175950
{'aut_label': '96E1', 'centralizer': '1.a1', 'counter': 1003, 'group_counter': 1699, 'group_order': 1536, 'label': '96H17', 'order': 96, 'powers': [507, 384], 'representative': 278, 'size': 1}
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id: 8175951
{'aut_label': '96E1', 'centralizer': '1.a1', 'counter': 1004, 'group_counter': 1699, 'group_order': 1536, 'label': '96H-17', 'order': 96, 'powers': [508, 383], 'representative': 1266, 'size': 1}
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id: 8175952
{'aut_label': '96E1', 'centralizer': '1.a1', 'counter': 1005, 'group_counter': 1699, 'group_order': 1536, 'label': '96H19', 'order': 96, 'powers': [509, 382], 'representative': 306, 'size': 1}
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id: 8175953
{'aut_label': '96E1', 'centralizer': '1.a1', 'counter': 1006, 'group_counter': 1699, 'group_order': 1536, 'label': '96H-19', 'order': 96, 'powers': [510, 381], 'representative': 1238, 'size': 1}
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id: 8175954
{'aut_label': '96E1', 'centralizer': '1.a1', 'counter': 1007, 'group_counter': 1699, 'group_order': 1536, 'label': '96H23', 'order': 96, 'powers': [511, 378], 'representative': 370, 'size': 1}
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id: 8175955
{'aut_label': '96E1', 'centralizer': '1.a1', 'counter': 1008, 'group_counter': 1699, 'group_order': 1536, 'label': '96H-23', 'order': 96, 'powers': [512, 377], 'representative': 1174, 'size': 1}
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id: 8175956
{'aut_label': '96E1', 'centralizer': '1.a1', 'counter': 1009, 'group_counter': 1699, 'group_order': 1536, 'label': '96H25', 'order': 96, 'powers': [512, 376], 'representative': 406, 'size': 1}
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id: 8175958
{'aut_label': '96E1', 'centralizer': '1.a1', 'counter': 1010, 'group_counter': 1699, 'group_order': 1536, 'label': '96H-25', 'order': 96, 'powers': [511, 375], 'representative': 1138, 'size': 1}
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id: 8175959
{'aut_label': '96E1', 'centralizer': '1.a1', 'counter': 1011, 'group_counter': 1699, 'group_order': 1536, 'label': '96H29', 'order': 96, 'powers': [510, 372], 'representative': 470, 'size': 1}
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id: 8175960
{'aut_label': '96E1', 'centralizer': '1.a1', 'counter': 1012, 'group_counter': 1699, 'group_order': 1536, 'label': '96H-29', 'order': 96, 'powers': [509, 371], 'representative': 1074, 'size': 1}
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id: 8175961
{'aut_label': '96E1', 'centralizer': '1.a1', 'counter': 1013, 'group_counter': 1699, 'group_order': 1536, 'label': '96H31', 'order': 96, 'powers': [508, 370], 'representative': 498, 'size': 1}
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id: 8175962
{'aut_label': '96E1', 'centralizer': '1.a1', 'counter': 1014, 'group_counter': 1699, 'group_order': 1536, 'label': '96H-31', 'order': 96, 'powers': [507, 369], 'representative': 1046, 'size': 1}
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id: 8175963
{'aut_label': '96E1', 'centralizer': '1.a1', 'counter': 1015, 'group_counter': 1699, 'group_order': 1536, 'label': '96H35', 'order': 96, 'powers': [506, 371], 'representative': 562, 'size': 1}
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id: 8175964
{'aut_label': '96E1', 'centralizer': '1.a1', 'counter': 1016, 'group_counter': 1699, 'group_order': 1536, 'label': '96H-35', 'order': 96, 'powers': [505, 372], 'representative': 982, 'size': 1}
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id: 8175965
{'aut_label': '96E1', 'centralizer': '1.a1', 'counter': 1017, 'group_counter': 1699, 'group_order': 1536, 'label': '96H37', 'order': 96, 'powers': [504, 373], 'representative': 598, 'size': 1}
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id: 8175966
{'aut_label': '96E1', 'centralizer': '1.a1', 'counter': 1018, 'group_counter': 1699, 'group_order': 1536, 'label': '96H-37', 'order': 96, 'powers': [503, 374], 'representative': 946, 'size': 1}
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id: 8175967
{'aut_label': '96E1', 'centralizer': '1.a1', 'counter': 1019, 'group_counter': 1699, 'group_order': 1536, 'label': '96H41', 'order': 96, 'powers': [502, 377], 'representative': 662, 'size': 1}
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id: 8175969
{'aut_label': '96E1', 'centralizer': '1.a1', 'counter': 1020, 'group_counter': 1699, 'group_order': 1536, 'label': '96H-41', 'order': 96, 'powers': [501, 378], 'representative': 882, 'size': 1}
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id: 8175970
{'aut_label': '96E1', 'centralizer': '1.a1', 'counter': 1021, 'group_counter': 1699, 'group_order': 1536, 'label': '96H43', 'order': 96, 'powers': [500, 379], 'representative': 690, 'size': 1}
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id: 8175971
{'aut_label': '96E1', 'centralizer': '1.a1', 'counter': 1022, 'group_counter': 1699, 'group_order': 1536, 'label': '96H-43', 'order': 96, 'powers': [499, 380], 'representative': 854, 'size': 1}
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id: 8175972
{'aut_label': '96E1', 'centralizer': '1.a1', 'counter': 1023, 'group_counter': 1699, 'group_order': 1536, 'label': '96H47', 'order': 96, 'powers': [498, 383], 'representative': 754, 'size': 1}
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id: 8175973
{'aut_label': '96E1', 'centralizer': '1.a1', 'counter': 1024, 'group_counter': 1699, 'group_order': 1536, 'label': '96H-47', 'order': 96, 'powers': [497, 384], 'representative': 790, 'size': 1}
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id: 8175974
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1025, 'group_counter': 1699, 'group_order': 1536, 'label': '192A1', 'order': 192, 'powers': [897, 513], 'representative': 8, 'size': 1}
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id: 8175975
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1026, 'group_counter': 1699, 'group_order': 1536, 'label': '192A-1', 'order': 192, 'powers': [898, 514], 'representative': 1528, 'size': 1}
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id: 8175976
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1027, 'group_counter': 1699, 'group_order': 1536, 'label': '192A5', 'order': 192, 'powers': [899, 517], 'representative': 40, 'size': 1}
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id: 8175977
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1028, 'group_counter': 1699, 'group_order': 1536, 'label': '192A-5', 'order': 192, 'powers': [900, 518], 'representative': 1496, 'size': 1}
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id: 8175978
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1029, 'group_counter': 1699, 'group_order': 1536, 'label': '192A7', 'order': 192, 'powers': [901, 519], 'representative': 56, 'size': 1}
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id: 8175980
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1030, 'group_counter': 1699, 'group_order': 1536, 'label': '192A-7', 'order': 192, 'powers': [902, 520], 'representative': 1480, 'size': 1}
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id: 8175981
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1031, 'group_counter': 1699, 'group_order': 1536, 'label': '192A11', 'order': 192, 'powers': [903, 523], 'representative': 88, 'size': 1}
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id: 8175982
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1032, 'group_counter': 1699, 'group_order': 1536, 'label': '192A-11', 'order': 192, 'powers': [904, 524], 'representative': 1448, 'size': 1}
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id: 8175983
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1033, 'group_counter': 1699, 'group_order': 1536, 'label': '192A13', 'order': 192, 'powers': [905, 525], 'representative': 104, 'size': 1}
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id: 8175984
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1034, 'group_counter': 1699, 'group_order': 1536, 'label': '192A-13', 'order': 192, 'powers': [906, 526], 'representative': 1432, 'size': 1}
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id: 8175985
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1035, 'group_counter': 1699, 'group_order': 1536, 'label': '192A17', 'order': 192, 'powers': [907, 529], 'representative': 136, 'size': 1}
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id: 8175986
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1036, 'group_counter': 1699, 'group_order': 1536, 'label': '192A-17', 'order': 192, 'powers': [908, 530], 'representative': 1400, 'size': 1}
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id: 8175987
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1037, 'group_counter': 1699, 'group_order': 1536, 'label': '192A19', 'order': 192, 'powers': [909, 531], 'representative': 152, 'size': 1}
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id: 8175988
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1038, 'group_counter': 1699, 'group_order': 1536, 'label': '192A-19', 'order': 192, 'powers': [910, 532], 'representative': 1384, 'size': 1}
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id: 8175989
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1039, 'group_counter': 1699, 'group_order': 1536, 'label': '192A23', 'order': 192, 'powers': [911, 535], 'representative': 184, 'size': 1}
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id: 8175991
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1040, 'group_counter': 1699, 'group_order': 1536, 'label': '192A-23', 'order': 192, 'powers': [912, 536], 'representative': 1352, 'size': 1}
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id: 8175992
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1041, 'group_counter': 1699, 'group_order': 1536, 'label': '192A25', 'order': 192, 'powers': [913, 537], 'representative': 200, 'size': 1}
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id: 8175993
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1042, 'group_counter': 1699, 'group_order': 1536, 'label': '192A-25', 'order': 192, 'powers': [914, 538], 'representative': 1336, 'size': 1}
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id: 8175994
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1043, 'group_counter': 1699, 'group_order': 1536, 'label': '192A29', 'order': 192, 'powers': [915, 541], 'representative': 232, 'size': 1}
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id: 8175995
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1044, 'group_counter': 1699, 'group_order': 1536, 'label': '192A-29', 'order': 192, 'powers': [916, 542], 'representative': 1304, 'size': 1}
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id: 8175996
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1045, 'group_counter': 1699, 'group_order': 1536, 'label': '192A31', 'order': 192, 'powers': [917, 543], 'representative': 248, 'size': 1}
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id: 8175997
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1046, 'group_counter': 1699, 'group_order': 1536, 'label': '192A-31', 'order': 192, 'powers': [918, 544], 'representative': 1288, 'size': 1}
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id: 8175998
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1047, 'group_counter': 1699, 'group_order': 1536, 'label': '192A35', 'order': 192, 'powers': [919, 542], 'representative': 280, 'size': 1}
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id: 8175999
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1048, 'group_counter': 1699, 'group_order': 1536, 'label': '192A-35', 'order': 192, 'powers': [920, 541], 'representative': 1256, 'size': 1}
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id: 8176000
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1049, 'group_counter': 1699, 'group_order': 1536, 'label': '192A37', 'order': 192, 'powers': [921, 540], 'representative': 296, 'size': 1}
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id: 8176002
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1050, 'group_counter': 1699, 'group_order': 1536, 'label': '192A-37', 'order': 192, 'powers': [922, 539], 'representative': 1240, 'size': 1}
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id: 8176003
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1051, 'group_counter': 1699, 'group_order': 1536, 'label': '192A41', 'order': 192, 'powers': [923, 536], 'representative': 328, 'size': 1}
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id: 8176004
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1052, 'group_counter': 1699, 'group_order': 1536, 'label': '192A-41', 'order': 192, 'powers': [924, 535], 'representative': 1208, 'size': 1}
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id: 8176005
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1053, 'group_counter': 1699, 'group_order': 1536, 'label': '192A43', 'order': 192, 'powers': [925, 534], 'representative': 344, 'size': 1}
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id: 8176006
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1054, 'group_counter': 1699, 'group_order': 1536, 'label': '192A-43', 'order': 192, 'powers': [926, 533], 'representative': 1192, 'size': 1}
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id: 8176007
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1055, 'group_counter': 1699, 'group_order': 1536, 'label': '192A47', 'order': 192, 'powers': [927, 530], 'representative': 376, 'size': 1}
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id: 8176008
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1056, 'group_counter': 1699, 'group_order': 1536, 'label': '192A-47', 'order': 192, 'powers': [928, 529], 'representative': 1160, 'size': 1}
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id: 8176009
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1057, 'group_counter': 1699, 'group_order': 1536, 'label': '192A49', 'order': 192, 'powers': [928, 528], 'representative': 392, 'size': 1}
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id: 8176010
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1058, 'group_counter': 1699, 'group_order': 1536, 'label': '192A-49', 'order': 192, 'powers': [927, 527], 'representative': 1144, 'size': 1}
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id: 8176011
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1059, 'group_counter': 1699, 'group_order': 1536, 'label': '192A53', 'order': 192, 'powers': [926, 524], 'representative': 424, 'size': 1}
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id: 8176013
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1060, 'group_counter': 1699, 'group_order': 1536, 'label': '192A-53', 'order': 192, 'powers': [925, 523], 'representative': 1112, 'size': 1}
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id: 8176014
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1061, 'group_counter': 1699, 'group_order': 1536, 'label': '192A55', 'order': 192, 'powers': [924, 522], 'representative': 440, 'size': 1}
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id: 8176015
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1062, 'group_counter': 1699, 'group_order': 1536, 'label': '192A-55', 'order': 192, 'powers': [923, 521], 'representative': 1096, 'size': 1}
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id: 8176016
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1063, 'group_counter': 1699, 'group_order': 1536, 'label': '192A59', 'order': 192, 'powers': [922, 518], 'representative': 472, 'size': 1}
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id: 8176017
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1064, 'group_counter': 1699, 'group_order': 1536, 'label': '192A-59', 'order': 192, 'powers': [921, 517], 'representative': 1064, 'size': 1}
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id: 8176018
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1065, 'group_counter': 1699, 'group_order': 1536, 'label': '192A61', 'order': 192, 'powers': [920, 516], 'representative': 488, 'size': 1}
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id: 8176019
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1066, 'group_counter': 1699, 'group_order': 1536, 'label': '192A-61', 'order': 192, 'powers': [919, 515], 'representative': 1048, 'size': 1}
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id: 8176020
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1067, 'group_counter': 1699, 'group_order': 1536, 'label': '192A65', 'order': 192, 'powers': [918, 513], 'representative': 520, 'size': 1}
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id: 8176021
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1068, 'group_counter': 1699, 'group_order': 1536, 'label': '192A-65', 'order': 192, 'powers': [917, 514], 'representative': 1016, 'size': 1}
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id: 8176022
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1069, 'group_counter': 1699, 'group_order': 1536, 'label': '192A67', 'order': 192, 'powers': [916, 515], 'representative': 536, 'size': 1}
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id: 8176024
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1070, 'group_counter': 1699, 'group_order': 1536, 'label': '192A-67', 'order': 192, 'powers': [915, 516], 'representative': 1000, 'size': 1}
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id: 8176025
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1071, 'group_counter': 1699, 'group_order': 1536, 'label': '192A71', 'order': 192, 'powers': [914, 519], 'representative': 568, 'size': 1}
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id: 8176026
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1072, 'group_counter': 1699, 'group_order': 1536, 'label': '192A-71', 'order': 192, 'powers': [913, 520], 'representative': 968, 'size': 1}
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id: 8176027
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1073, 'group_counter': 1699, 'group_order': 1536, 'label': '192A73', 'order': 192, 'powers': [912, 521], 'representative': 584, 'size': 1}
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id: 8176028
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1074, 'group_counter': 1699, 'group_order': 1536, 'label': '192A-73', 'order': 192, 'powers': [911, 522], 'representative': 952, 'size': 1}
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id: 8176029
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1075, 'group_counter': 1699, 'group_order': 1536, 'label': '192A77', 'order': 192, 'powers': [910, 525], 'representative': 616, 'size': 1}
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id: 8176030
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1076, 'group_counter': 1699, 'group_order': 1536, 'label': '192A-77', 'order': 192, 'powers': [909, 526], 'representative': 920, 'size': 1}
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id: 8176031
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1077, 'group_counter': 1699, 'group_order': 1536, 'label': '192A79', 'order': 192, 'powers': [908, 527], 'representative': 632, 'size': 1}
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id: 8176032
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1078, 'group_counter': 1699, 'group_order': 1536, 'label': '192A-79', 'order': 192, 'powers': [907, 528], 'representative': 904, 'size': 1}
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id: 8176033
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1079, 'group_counter': 1699, 'group_order': 1536, 'label': '192A83', 'order': 192, 'powers': [906, 531], 'representative': 664, 'size': 1}
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id: 8176035
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1080, 'group_counter': 1699, 'group_order': 1536, 'label': '192A-83', 'order': 192, 'powers': [905, 532], 'representative': 872, 'size': 1}
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id: 8176036
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1081, 'group_counter': 1699, 'group_order': 1536, 'label': '192A85', 'order': 192, 'powers': [904, 533], 'representative': 680, 'size': 1}
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id: 8176037
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1082, 'group_counter': 1699, 'group_order': 1536, 'label': '192A-85', 'order': 192, 'powers': [903, 534], 'representative': 856, 'size': 1}
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id: 8176038
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1083, 'group_counter': 1699, 'group_order': 1536, 'label': '192A89', 'order': 192, 'powers': [902, 537], 'representative': 712, 'size': 1}
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id: 8176039
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1084, 'group_counter': 1699, 'group_order': 1536, 'label': '192A-89', 'order': 192, 'powers': [901, 538], 'representative': 824, 'size': 1}
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id: 8176040
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1085, 'group_counter': 1699, 'group_order': 1536, 'label': '192A91', 'order': 192, 'powers': [900, 539], 'representative': 728, 'size': 1}
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id: 8176041
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1086, 'group_counter': 1699, 'group_order': 1536, 'label': '192A-91', 'order': 192, 'powers': [899, 540], 'representative': 808, 'size': 1}
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id: 8176042
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1087, 'group_counter': 1699, 'group_order': 1536, 'label': '192A95', 'order': 192, 'powers': [898, 543], 'representative': 760, 'size': 1}
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id: 8176043
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1088, 'group_counter': 1699, 'group_order': 1536, 'label': '192A-95', 'order': 192, 'powers': [897, 544], 'representative': 776, 'size': 1}
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id: 8176044
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1089, 'group_counter': 1699, 'group_order': 1536, 'label': '192B1', 'order': 192, 'powers': [897, 545], 'representative': 12, 'size': 1}
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id: 8176046
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1090, 'group_counter': 1699, 'group_order': 1536, 'label': '192B-1', 'order': 192, 'powers': [898, 546], 'representative': 1532, 'size': 1}
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id: 8176047
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1091, 'group_counter': 1699, 'group_order': 1536, 'label': '192B5', 'order': 192, 'powers': [899, 549], 'representative': 44, 'size': 1}
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id: 8176048
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1092, 'group_counter': 1699, 'group_order': 1536, 'label': '192B-5', 'order': 192, 'powers': [900, 550], 'representative': 1500, 'size': 1}
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id: 8176049
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1093, 'group_counter': 1699, 'group_order': 1536, 'label': '192B7', 'order': 192, 'powers': [901, 551], 'representative': 60, 'size': 1}
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id: 8176050
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1094, 'group_counter': 1699, 'group_order': 1536, 'label': '192B-7', 'order': 192, 'powers': [902, 552], 'representative': 1484, 'size': 1}
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id: 8176051
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1095, 'group_counter': 1699, 'group_order': 1536, 'label': '192B11', 'order': 192, 'powers': [903, 555], 'representative': 92, 'size': 1}
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id: 8176052
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1096, 'group_counter': 1699, 'group_order': 1536, 'label': '192B-11', 'order': 192, 'powers': [904, 556], 'representative': 1452, 'size': 1}
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id: 8176053
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1097, 'group_counter': 1699, 'group_order': 1536, 'label': '192B13', 'order': 192, 'powers': [905, 557], 'representative': 108, 'size': 1}
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id: 8176054
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1098, 'group_counter': 1699, 'group_order': 1536, 'label': '192B-13', 'order': 192, 'powers': [906, 558], 'representative': 1436, 'size': 1}
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id: 8176055
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1099, 'group_counter': 1699, 'group_order': 1536, 'label': '192B17', 'order': 192, 'powers': [907, 561], 'representative': 140, 'size': 1}
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id: 8176058
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1100, 'group_counter': 1699, 'group_order': 1536, 'label': '192B-17', 'order': 192, 'powers': [908, 562], 'representative': 1404, 'size': 1}
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id: 8176059
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1101, 'group_counter': 1699, 'group_order': 1536, 'label': '192B19', 'order': 192, 'powers': [909, 563], 'representative': 156, 'size': 1}
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id: 8176060
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1102, 'group_counter': 1699, 'group_order': 1536, 'label': '192B-19', 'order': 192, 'powers': [910, 564], 'representative': 1388, 'size': 1}
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id: 8176061
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1103, 'group_counter': 1699, 'group_order': 1536, 'label': '192B23', 'order': 192, 'powers': [911, 567], 'representative': 188, 'size': 1}
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id: 8176062
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1104, 'group_counter': 1699, 'group_order': 1536, 'label': '192B-23', 'order': 192, 'powers': [912, 568], 'representative': 1356, 'size': 1}
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id: 8176063
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1105, 'group_counter': 1699, 'group_order': 1536, 'label': '192B25', 'order': 192, 'powers': [913, 569], 'representative': 204, 'size': 1}
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id: 8176064
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1106, 'group_counter': 1699, 'group_order': 1536, 'label': '192B-25', 'order': 192, 'powers': [914, 570], 'representative': 1340, 'size': 1}
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id: 8176065
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1107, 'group_counter': 1699, 'group_order': 1536, 'label': '192B29', 'order': 192, 'powers': [915, 573], 'representative': 236, 'size': 1}
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id: 8176066
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1108, 'group_counter': 1699, 'group_order': 1536, 'label': '192B-29', 'order': 192, 'powers': [916, 574], 'representative': 1308, 'size': 1}
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id: 8176067
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1109, 'group_counter': 1699, 'group_order': 1536, 'label': '192B31', 'order': 192, 'powers': [917, 575], 'representative': 252, 'size': 1}
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id: 8176069
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1110, 'group_counter': 1699, 'group_order': 1536, 'label': '192B-31', 'order': 192, 'powers': [918, 576], 'representative': 1292, 'size': 1}
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id: 8176070
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1111, 'group_counter': 1699, 'group_order': 1536, 'label': '192B35', 'order': 192, 'powers': [919, 574], 'representative': 284, 'size': 1}
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id: 8176071
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1112, 'group_counter': 1699, 'group_order': 1536, 'label': '192B-35', 'order': 192, 'powers': [920, 573], 'representative': 1260, 'size': 1}
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id: 8176072
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1113, 'group_counter': 1699, 'group_order': 1536, 'label': '192B37', 'order': 192, 'powers': [921, 572], 'representative': 300, 'size': 1}
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id: 8176073
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1114, 'group_counter': 1699, 'group_order': 1536, 'label': '192B-37', 'order': 192, 'powers': [922, 571], 'representative': 1244, 'size': 1}
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id: 8176074
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1115, 'group_counter': 1699, 'group_order': 1536, 'label': '192B41', 'order': 192, 'powers': [923, 568], 'representative': 332, 'size': 1}
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id: 8176075
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1116, 'group_counter': 1699, 'group_order': 1536, 'label': '192B-41', 'order': 192, 'powers': [924, 567], 'representative': 1212, 'size': 1}
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id: 8176076
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1117, 'group_counter': 1699, 'group_order': 1536, 'label': '192B43', 'order': 192, 'powers': [925, 566], 'representative': 348, 'size': 1}
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id: 8176077
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1118, 'group_counter': 1699, 'group_order': 1536, 'label': '192B-43', 'order': 192, 'powers': [926, 565], 'representative': 1196, 'size': 1}
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id: 8176078
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1119, 'group_counter': 1699, 'group_order': 1536, 'label': '192B47', 'order': 192, 'powers': [927, 562], 'representative': 380, 'size': 1}
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id: 8176080
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1120, 'group_counter': 1699, 'group_order': 1536, 'label': '192B-47', 'order': 192, 'powers': [928, 561], 'representative': 1164, 'size': 1}
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id: 8176081
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1121, 'group_counter': 1699, 'group_order': 1536, 'label': '192B49', 'order': 192, 'powers': [928, 560], 'representative': 396, 'size': 1}
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id: 8176082
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1122, 'group_counter': 1699, 'group_order': 1536, 'label': '192B-49', 'order': 192, 'powers': [927, 559], 'representative': 1148, 'size': 1}
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id: 8176083
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1123, 'group_counter': 1699, 'group_order': 1536, 'label': '192B53', 'order': 192, 'powers': [926, 556], 'representative': 428, 'size': 1}
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id: 8176084
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1124, 'group_counter': 1699, 'group_order': 1536, 'label': '192B-53', 'order': 192, 'powers': [925, 555], 'representative': 1116, 'size': 1}
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id: 8176085
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1125, 'group_counter': 1699, 'group_order': 1536, 'label': '192B55', 'order': 192, 'powers': [924, 554], 'representative': 444, 'size': 1}
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id: 8176086
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1126, 'group_counter': 1699, 'group_order': 1536, 'label': '192B-55', 'order': 192, 'powers': [923, 553], 'representative': 1100, 'size': 1}
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id: 8176087
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1127, 'group_counter': 1699, 'group_order': 1536, 'label': '192B59', 'order': 192, 'powers': [922, 550], 'representative': 476, 'size': 1}
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id: 8176088
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1128, 'group_counter': 1699, 'group_order': 1536, 'label': '192B-59', 'order': 192, 'powers': [921, 549], 'representative': 1068, 'size': 1}
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id: 8176089
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1129, 'group_counter': 1699, 'group_order': 1536, 'label': '192B61', 'order': 192, 'powers': [920, 548], 'representative': 492, 'size': 1}
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id: 8176091
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1130, 'group_counter': 1699, 'group_order': 1536, 'label': '192B-61', 'order': 192, 'powers': [919, 547], 'representative': 1052, 'size': 1}
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id: 8176092
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1131, 'group_counter': 1699, 'group_order': 1536, 'label': '192B65', 'order': 192, 'powers': [918, 545], 'representative': 524, 'size': 1}
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id: 8176093
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1132, 'group_counter': 1699, 'group_order': 1536, 'label': '192B-65', 'order': 192, 'powers': [917, 546], 'representative': 1020, 'size': 1}
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id: 8176094
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1133, 'group_counter': 1699, 'group_order': 1536, 'label': '192B67', 'order': 192, 'powers': [916, 547], 'representative': 540, 'size': 1}
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id: 8176095
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1134, 'group_counter': 1699, 'group_order': 1536, 'label': '192B-67', 'order': 192, 'powers': [915, 548], 'representative': 1004, 'size': 1}
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id: 8176096
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1135, 'group_counter': 1699, 'group_order': 1536, 'label': '192B71', 'order': 192, 'powers': [914, 551], 'representative': 572, 'size': 1}
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id: 8176097
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1136, 'group_counter': 1699, 'group_order': 1536, 'label': '192B-71', 'order': 192, 'powers': [913, 552], 'representative': 972, 'size': 1}
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id: 8176098
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1137, 'group_counter': 1699, 'group_order': 1536, 'label': '192B73', 'order': 192, 'powers': [912, 553], 'representative': 588, 'size': 1}
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id: 8176099
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1138, 'group_counter': 1699, 'group_order': 1536, 'label': '192B-73', 'order': 192, 'powers': [911, 554], 'representative': 956, 'size': 1}
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id: 8176100
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1139, 'group_counter': 1699, 'group_order': 1536, 'label': '192B77', 'order': 192, 'powers': [910, 557], 'representative': 620, 'size': 1}
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id: 8176102
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1140, 'group_counter': 1699, 'group_order': 1536, 'label': '192B-77', 'order': 192, 'powers': [909, 558], 'representative': 924, 'size': 1}
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id: 8176103
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1141, 'group_counter': 1699, 'group_order': 1536, 'label': '192B79', 'order': 192, 'powers': [908, 559], 'representative': 636, 'size': 1}
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id: 8176104
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1142, 'group_counter': 1699, 'group_order': 1536, 'label': '192B-79', 'order': 192, 'powers': [907, 560], 'representative': 908, 'size': 1}
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id: 8176105
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1143, 'group_counter': 1699, 'group_order': 1536, 'label': '192B83', 'order': 192, 'powers': [906, 563], 'representative': 668, 'size': 1}
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id: 8176106
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1144, 'group_counter': 1699, 'group_order': 1536, 'label': '192B-83', 'order': 192, 'powers': [905, 564], 'representative': 876, 'size': 1}
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id: 8176107
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1145, 'group_counter': 1699, 'group_order': 1536, 'label': '192B85', 'order': 192, 'powers': [904, 565], 'representative': 684, 'size': 1}
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id: 8176108
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1146, 'group_counter': 1699, 'group_order': 1536, 'label': '192B-85', 'order': 192, 'powers': [903, 566], 'representative': 860, 'size': 1}
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id: 8176109
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1147, 'group_counter': 1699, 'group_order': 1536, 'label': '192B89', 'order': 192, 'powers': [902, 569], 'representative': 716, 'size': 1}
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id: 8176110
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1148, 'group_counter': 1699, 'group_order': 1536, 'label': '192B-89', 'order': 192, 'powers': [901, 570], 'representative': 828, 'size': 1}
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id: 8176111
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1149, 'group_counter': 1699, 'group_order': 1536, 'label': '192B91', 'order': 192, 'powers': [900, 571], 'representative': 732, 'size': 1}
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id: 8176113
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1150, 'group_counter': 1699, 'group_order': 1536, 'label': '192B-91', 'order': 192, 'powers': [899, 572], 'representative': 812, 'size': 1}
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id: 8176114
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1151, 'group_counter': 1699, 'group_order': 1536, 'label': '192B95', 'order': 192, 'powers': [898, 575], 'representative': 764, 'size': 1}
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id: 8176115
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1152, 'group_counter': 1699, 'group_order': 1536, 'label': '192B-95', 'order': 192, 'powers': [897, 576], 'representative': 780, 'size': 1}
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id: 8176116
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1153, 'group_counter': 1699, 'group_order': 1536, 'label': '192C1', 'order': 192, 'powers': [929, 577], 'representative': 10, 'size': 1}
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id: 8176117
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1154, 'group_counter': 1699, 'group_order': 1536, 'label': '192C-1', 'order': 192, 'powers': [930, 578], 'representative': 1534, 'size': 1}
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id: 8176118
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1155, 'group_counter': 1699, 'group_order': 1536, 'label': '192C5', 'order': 192, 'powers': [931, 581], 'representative': 42, 'size': 1}
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id: 8176119
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1156, 'group_counter': 1699, 'group_order': 1536, 'label': '192C-5', 'order': 192, 'powers': [932, 582], 'representative': 1502, 'size': 1}
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id: 8176120
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1157, 'group_counter': 1699, 'group_order': 1536, 'label': '192C7', 'order': 192, 'powers': [933, 583], 'representative': 62, 'size': 1}
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id: 8176121
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1158, 'group_counter': 1699, 'group_order': 1536, 'label': '192C-7', 'order': 192, 'powers': [934, 584], 'representative': 1482, 'size': 1}
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id: 8176122
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1159, 'group_counter': 1699, 'group_order': 1536, 'label': '192C11', 'order': 192, 'powers': [935, 587], 'representative': 94, 'size': 1}
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id: 8176124
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1160, 'group_counter': 1699, 'group_order': 1536, 'label': '192C-11', 'order': 192, 'powers': [936, 588], 'representative': 1450, 'size': 1}
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id: 8176125
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1161, 'group_counter': 1699, 'group_order': 1536, 'label': '192C13', 'order': 192, 'powers': [937, 589], 'representative': 106, 'size': 1}
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id: 8176126
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1162, 'group_counter': 1699, 'group_order': 1536, 'label': '192C-13', 'order': 192, 'powers': [938, 590], 'representative': 1438, 'size': 1}
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id: 8176127
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1163, 'group_counter': 1699, 'group_order': 1536, 'label': '192C17', 'order': 192, 'powers': [939, 593], 'representative': 138, 'size': 1}
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id: 8176128
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1164, 'group_counter': 1699, 'group_order': 1536, 'label': '192C-17', 'order': 192, 'powers': [940, 594], 'representative': 1406, 'size': 1}
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id: 8176129
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1165, 'group_counter': 1699, 'group_order': 1536, 'label': '192C19', 'order': 192, 'powers': [941, 595], 'representative': 158, 'size': 1}
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id: 8176130
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1166, 'group_counter': 1699, 'group_order': 1536, 'label': '192C-19', 'order': 192, 'powers': [942, 596], 'representative': 1386, 'size': 1}
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id: 8176131
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1167, 'group_counter': 1699, 'group_order': 1536, 'label': '192C23', 'order': 192, 'powers': [943, 599], 'representative': 190, 'size': 1}
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id: 8176132
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1168, 'group_counter': 1699, 'group_order': 1536, 'label': '192C-23', 'order': 192, 'powers': [944, 600], 'representative': 1354, 'size': 1}
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id: 8176133
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1169, 'group_counter': 1699, 'group_order': 1536, 'label': '192C25', 'order': 192, 'powers': [945, 601], 'representative': 202, 'size': 1}
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id: 8176135
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1170, 'group_counter': 1699, 'group_order': 1536, 'label': '192C-25', 'order': 192, 'powers': [946, 602], 'representative': 1342, 'size': 1}
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id: 8176136
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1171, 'group_counter': 1699, 'group_order': 1536, 'label': '192C29', 'order': 192, 'powers': [947, 605], 'representative': 234, 'size': 1}
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id: 8176137
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1172, 'group_counter': 1699, 'group_order': 1536, 'label': '192C-29', 'order': 192, 'powers': [948, 606], 'representative': 1310, 'size': 1}
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id: 8176138
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1173, 'group_counter': 1699, 'group_order': 1536, 'label': '192C31', 'order': 192, 'powers': [949, 607], 'representative': 254, 'size': 1}
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id: 8176139
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1174, 'group_counter': 1699, 'group_order': 1536, 'label': '192C-31', 'order': 192, 'powers': [950, 608], 'representative': 1290, 'size': 1}
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id: 8176140
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1175, 'group_counter': 1699, 'group_order': 1536, 'label': '192C35', 'order': 192, 'powers': [951, 606], 'representative': 286, 'size': 1}
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id: 8176141
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1176, 'group_counter': 1699, 'group_order': 1536, 'label': '192C-35', 'order': 192, 'powers': [952, 605], 'representative': 1258, 'size': 1}
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id: 8176142
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1177, 'group_counter': 1699, 'group_order': 1536, 'label': '192C37', 'order': 192, 'powers': [953, 604], 'representative': 298, 'size': 1}
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id: 8176143
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1178, 'group_counter': 1699, 'group_order': 1536, 'label': '192C-37', 'order': 192, 'powers': [954, 603], 'representative': 1246, 'size': 1}
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id: 8176144
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1179, 'group_counter': 1699, 'group_order': 1536, 'label': '192C41', 'order': 192, 'powers': [955, 600], 'representative': 330, 'size': 1}
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id: 8176146
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1180, 'group_counter': 1699, 'group_order': 1536, 'label': '192C-41', 'order': 192, 'powers': [956, 599], 'representative': 1214, 'size': 1}
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id: 8176147
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1181, 'group_counter': 1699, 'group_order': 1536, 'label': '192C43', 'order': 192, 'powers': [957, 598], 'representative': 350, 'size': 1}
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id: 8176148
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1182, 'group_counter': 1699, 'group_order': 1536, 'label': '192C-43', 'order': 192, 'powers': [958, 597], 'representative': 1194, 'size': 1}
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id: 8176149
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1183, 'group_counter': 1699, 'group_order': 1536, 'label': '192C47', 'order': 192, 'powers': [959, 594], 'representative': 382, 'size': 1}
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id: 8176150
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1184, 'group_counter': 1699, 'group_order': 1536, 'label': '192C-47', 'order': 192, 'powers': [960, 593], 'representative': 1162, 'size': 1}
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id: 8176151
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1185, 'group_counter': 1699, 'group_order': 1536, 'label': '192C49', 'order': 192, 'powers': [960, 592], 'representative': 394, 'size': 1}
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id: 8176152
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1186, 'group_counter': 1699, 'group_order': 1536, 'label': '192C-49', 'order': 192, 'powers': [959, 591], 'representative': 1150, 'size': 1}
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id: 8176153
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1187, 'group_counter': 1699, 'group_order': 1536, 'label': '192C53', 'order': 192, 'powers': [958, 588], 'representative': 426, 'size': 1}
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id: 8176154
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1188, 'group_counter': 1699, 'group_order': 1536, 'label': '192C-53', 'order': 192, 'powers': [957, 587], 'representative': 1118, 'size': 1}
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id: 8176155
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1189, 'group_counter': 1699, 'group_order': 1536, 'label': '192C55', 'order': 192, 'powers': [956, 586], 'representative': 446, 'size': 1}
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id: 8176157
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1190, 'group_counter': 1699, 'group_order': 1536, 'label': '192C-55', 'order': 192, 'powers': [955, 585], 'representative': 1098, 'size': 1}
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id: 8176158
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1191, 'group_counter': 1699, 'group_order': 1536, 'label': '192C59', 'order': 192, 'powers': [954, 582], 'representative': 478, 'size': 1}
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id: 8176159
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1192, 'group_counter': 1699, 'group_order': 1536, 'label': '192C-59', 'order': 192, 'powers': [953, 581], 'representative': 1066, 'size': 1}
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id: 8176160
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1193, 'group_counter': 1699, 'group_order': 1536, 'label': '192C61', 'order': 192, 'powers': [952, 580], 'representative': 490, 'size': 1}
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id: 8176161
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1194, 'group_counter': 1699, 'group_order': 1536, 'label': '192C-61', 'order': 192, 'powers': [951, 579], 'representative': 1054, 'size': 1}
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id: 8176162
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1195, 'group_counter': 1699, 'group_order': 1536, 'label': '192C65', 'order': 192, 'powers': [950, 577], 'representative': 522, 'size': 1}
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id: 8176163
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1196, 'group_counter': 1699, 'group_order': 1536, 'label': '192C-65', 'order': 192, 'powers': [949, 578], 'representative': 1022, 'size': 1}
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id: 8176164
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1197, 'group_counter': 1699, 'group_order': 1536, 'label': '192C67', 'order': 192, 'powers': [948, 579], 'representative': 542, 'size': 1}
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id: 8176165
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1198, 'group_counter': 1699, 'group_order': 1536, 'label': '192C-67', 'order': 192, 'powers': [947, 580], 'representative': 1002, 'size': 1}
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id: 8176166
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1199, 'group_counter': 1699, 'group_order': 1536, 'label': '192C71', 'order': 192, 'powers': [946, 583], 'representative': 574, 'size': 1}
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id: 8176169
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1200, 'group_counter': 1699, 'group_order': 1536, 'label': '192C-71', 'order': 192, 'powers': [945, 584], 'representative': 970, 'size': 1}
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id: 8176170
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1201, 'group_counter': 1699, 'group_order': 1536, 'label': '192C73', 'order': 192, 'powers': [944, 585], 'representative': 586, 'size': 1}
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id: 8176171
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1202, 'group_counter': 1699, 'group_order': 1536, 'label': '192C-73', 'order': 192, 'powers': [943, 586], 'representative': 958, 'size': 1}
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id: 8176172
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1203, 'group_counter': 1699, 'group_order': 1536, 'label': '192C77', 'order': 192, 'powers': [942, 589], 'representative': 618, 'size': 1}
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id: 8176173
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1204, 'group_counter': 1699, 'group_order': 1536, 'label': '192C-77', 'order': 192, 'powers': [941, 590], 'representative': 926, 'size': 1}
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id: 8176174
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1205, 'group_counter': 1699, 'group_order': 1536, 'label': '192C79', 'order': 192, 'powers': [940, 591], 'representative': 638, 'size': 1}
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id: 8176175
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1206, 'group_counter': 1699, 'group_order': 1536, 'label': '192C-79', 'order': 192, 'powers': [939, 592], 'representative': 906, 'size': 1}
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id: 8176176
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1207, 'group_counter': 1699, 'group_order': 1536, 'label': '192C83', 'order': 192, 'powers': [938, 595], 'representative': 670, 'size': 1}
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id: 8176177
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1208, 'group_counter': 1699, 'group_order': 1536, 'label': '192C-83', 'order': 192, 'powers': [937, 596], 'representative': 874, 'size': 1}
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id: 8176178
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1209, 'group_counter': 1699, 'group_order': 1536, 'label': '192C85', 'order': 192, 'powers': [936, 597], 'representative': 682, 'size': 1}
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id: 8176180
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1210, 'group_counter': 1699, 'group_order': 1536, 'label': '192C-85', 'order': 192, 'powers': [935, 598], 'representative': 862, 'size': 1}
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id: 8176181
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1211, 'group_counter': 1699, 'group_order': 1536, 'label': '192C89', 'order': 192, 'powers': [934, 601], 'representative': 714, 'size': 1}
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id: 8176182
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1212, 'group_counter': 1699, 'group_order': 1536, 'label': '192C-89', 'order': 192, 'powers': [933, 602], 'representative': 830, 'size': 1}
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id: 8176183
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1213, 'group_counter': 1699, 'group_order': 1536, 'label': '192C91', 'order': 192, 'powers': [932, 603], 'representative': 734, 'size': 1}
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id: 8176184
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1214, 'group_counter': 1699, 'group_order': 1536, 'label': '192C-91', 'order': 192, 'powers': [931, 604], 'representative': 810, 'size': 1}
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id: 8176185
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1215, 'group_counter': 1699, 'group_order': 1536, 'label': '192C95', 'order': 192, 'powers': [930, 607], 'representative': 766, 'size': 1}
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id: 8176186
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1216, 'group_counter': 1699, 'group_order': 1536, 'label': '192C-95', 'order': 192, 'powers': [929, 608], 'representative': 778, 'size': 1}
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id: 8176187
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1217, 'group_counter': 1699, 'group_order': 1536, 'label': '192D1', 'order': 192, 'powers': [961, 609], 'representative': 9, 'size': 1}
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id: 8176188
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1218, 'group_counter': 1699, 'group_order': 1536, 'label': '192D-1', 'order': 192, 'powers': [962, 610], 'representative': 1535, 'size': 1}
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id: 8176189
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1219, 'group_counter': 1699, 'group_order': 1536, 'label': '192D5', 'order': 192, 'powers': [963, 613], 'representative': 45, 'size': 1}
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id: 8176191
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1220, 'group_counter': 1699, 'group_order': 1536, 'label': '192D-5', 'order': 192, 'powers': [964, 614], 'representative': 1499, 'size': 1}
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id: 8176192
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1221, 'group_counter': 1699, 'group_order': 1536, 'label': '192D7', 'order': 192, 'powers': [965, 615], 'representative': 63, 'size': 1}
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id: 8176193
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1222, 'group_counter': 1699, 'group_order': 1536, 'label': '192D-7', 'order': 192, 'powers': [966, 616], 'representative': 1481, 'size': 1}
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id: 8176194
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1223, 'group_counter': 1699, 'group_order': 1536, 'label': '192D11', 'order': 192, 'powers': [967, 619], 'representative': 91, 'size': 1}
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id: 8176195
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1224, 'group_counter': 1699, 'group_order': 1536, 'label': '192D-11', 'order': 192, 'powers': [968, 620], 'representative': 1453, 'size': 1}
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id: 8176196
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1225, 'group_counter': 1699, 'group_order': 1536, 'label': '192D13', 'order': 192, 'powers': [969, 621], 'representative': 109, 'size': 1}
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id: 8176197
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1226, 'group_counter': 1699, 'group_order': 1536, 'label': '192D-13', 'order': 192, 'powers': [970, 622], 'representative': 1435, 'size': 1}
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id: 8176198
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1227, 'group_counter': 1699, 'group_order': 1536, 'label': '192D17', 'order': 192, 'powers': [971, 625], 'representative': 137, 'size': 1}
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id: 8176199
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1228, 'group_counter': 1699, 'group_order': 1536, 'label': '192D-17', 'order': 192, 'powers': [972, 626], 'representative': 1407, 'size': 1}
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id: 8176200
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1229, 'group_counter': 1699, 'group_order': 1536, 'label': '192D19', 'order': 192, 'powers': [973, 627], 'representative': 155, 'size': 1}
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id: 8176202
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1230, 'group_counter': 1699, 'group_order': 1536, 'label': '192D-19', 'order': 192, 'powers': [974, 628], 'representative': 1389, 'size': 1}
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id: 8176203
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1231, 'group_counter': 1699, 'group_order': 1536, 'label': '192D23', 'order': 192, 'powers': [975, 631], 'representative': 191, 'size': 1}
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id: 8176204
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1232, 'group_counter': 1699, 'group_order': 1536, 'label': '192D-23', 'order': 192, 'powers': [976, 632], 'representative': 1353, 'size': 1}
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id: 8176205
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1233, 'group_counter': 1699, 'group_order': 1536, 'label': '192D25', 'order': 192, 'powers': [977, 633], 'representative': 201, 'size': 1}
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id: 8176206
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id: 8176207
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1235, 'group_counter': 1699, 'group_order': 1536, 'label': '192D29', 'order': 192, 'powers': [979, 637], 'representative': 237, 'size': 1}
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id: 8176208
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id: 8176209
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1237, 'group_counter': 1699, 'group_order': 1536, 'label': '192D31', 'order': 192, 'powers': [981, 639], 'representative': 255, 'size': 1}
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id: 8176210
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id: 8176211
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1239, 'group_counter': 1699, 'group_order': 1536, 'label': '192D35', 'order': 192, 'powers': [983, 638], 'representative': 283, 'size': 1}
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id: 8176213
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1240, 'group_counter': 1699, 'group_order': 1536, 'label': '192D-35', 'order': 192, 'powers': [984, 637], 'representative': 1261, 'size': 1}
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id: 8176214
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id: 8176215
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id: 8176216
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id: 8176217
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1244, 'group_counter': 1699, 'group_order': 1536, 'label': '192D-41', 'order': 192, 'powers': [988, 631], 'representative': 1215, 'size': 1}
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id: 8176218
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id: 8176219
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id: 8176220
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id: 8176221
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id: 8176222
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1249, 'group_counter': 1699, 'group_order': 1536, 'label': '192D49', 'order': 192, 'powers': [992, 624], 'representative': 393, 'size': 1}
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id: 8176224
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id: 8176225
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id: 8176226
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id: 8176227
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id: 8176228
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1254, 'group_counter': 1699, 'group_order': 1536, 'label': '192D-55', 'order': 192, 'powers': [987, 617], 'representative': 1097, 'size': 1}
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id: 8176229
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1255, 'group_counter': 1699, 'group_order': 1536, 'label': '192D59', 'order': 192, 'powers': [986, 614], 'representative': 475, 'size': 1}
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id: 8176230
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1256, 'group_counter': 1699, 'group_order': 1536, 'label': '192D-59', 'order': 192, 'powers': [985, 613], 'representative': 1069, 'size': 1}
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id: 8176231
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1257, 'group_counter': 1699, 'group_order': 1536, 'label': '192D61', 'order': 192, 'powers': [984, 612], 'representative': 493, 'size': 1}
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id: 8176232
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1258, 'group_counter': 1699, 'group_order': 1536, 'label': '192D-61', 'order': 192, 'powers': [983, 611], 'representative': 1051, 'size': 1}
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id: 8176233
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id: 8176235
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1260, 'group_counter': 1699, 'group_order': 1536, 'label': '192D-65', 'order': 192, 'powers': [981, 610], 'representative': 1023, 'size': 1}
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id: 8176236
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id: 8176237
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1262, 'group_counter': 1699, 'group_order': 1536, 'label': '192D-67', 'order': 192, 'powers': [979, 612], 'representative': 1005, 'size': 1}
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id: 8176238
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1263, 'group_counter': 1699, 'group_order': 1536, 'label': '192D71', 'order': 192, 'powers': [978, 615], 'representative': 575, 'size': 1}
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id: 8176239
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1264, 'group_counter': 1699, 'group_order': 1536, 'label': '192D-71', 'order': 192, 'powers': [977, 616], 'representative': 969, 'size': 1}
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id: 8176240
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id: 8176241
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1266, 'group_counter': 1699, 'group_order': 1536, 'label': '192D-73', 'order': 192, 'powers': [975, 618], 'representative': 959, 'size': 1}
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id: 8176242
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id: 8176243
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1268, 'group_counter': 1699, 'group_order': 1536, 'label': '192D-77', 'order': 192, 'powers': [973, 622], 'representative': 923, 'size': 1}
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id: 8176244
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1269, 'group_counter': 1699, 'group_order': 1536, 'label': '192D79', 'order': 192, 'powers': [972, 623], 'representative': 639, 'size': 1}
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id: 8176246
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1270, 'group_counter': 1699, 'group_order': 1536, 'label': '192D-79', 'order': 192, 'powers': [971, 624], 'representative': 905, 'size': 1}
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id: 8176247
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id: 8176248
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1272, 'group_counter': 1699, 'group_order': 1536, 'label': '192D-83', 'order': 192, 'powers': [969, 628], 'representative': 877, 'size': 1}
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id: 8176249
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1273, 'group_counter': 1699, 'group_order': 1536, 'label': '192D85', 'order': 192, 'powers': [968, 629], 'representative': 685, 'size': 1}
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id: 8176250
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1274, 'group_counter': 1699, 'group_order': 1536, 'label': '192D-85', 'order': 192, 'powers': [967, 630], 'representative': 859, 'size': 1}
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id: 8176251
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1275, 'group_counter': 1699, 'group_order': 1536, 'label': '192D89', 'order': 192, 'powers': [966, 633], 'representative': 713, 'size': 1}
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id: 8176252
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1276, 'group_counter': 1699, 'group_order': 1536, 'label': '192D-89', 'order': 192, 'powers': [965, 634], 'representative': 831, 'size': 1}
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id: 8176253
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1277, 'group_counter': 1699, 'group_order': 1536, 'label': '192D91', 'order': 192, 'powers': [964, 635], 'representative': 731, 'size': 1}
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id: 8176254
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1278, 'group_counter': 1699, 'group_order': 1536, 'label': '192D-91', 'order': 192, 'powers': [963, 636], 'representative': 813, 'size': 1}
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id: 8176255
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id: 8176257
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1280, 'group_counter': 1699, 'group_order': 1536, 'label': '192D-95', 'order': 192, 'powers': [961, 640], 'representative': 777, 'size': 1}
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id: 8176258
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1281, 'group_counter': 1699, 'group_order': 1536, 'label': '192E1', 'order': 192, 'powers': [929, 641], 'representative': 14, 'size': 1}
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id: 8176259
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1282, 'group_counter': 1699, 'group_order': 1536, 'label': '192E-1', 'order': 192, 'powers': [930, 642], 'representative': 1530, 'size': 1}
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id: 8176260
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1283, 'group_counter': 1699, 'group_order': 1536, 'label': '192E5', 'order': 192, 'powers': [931, 645], 'representative': 46, 'size': 1}
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id: 8176261
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1284, 'group_counter': 1699, 'group_order': 1536, 'label': '192E-5', 'order': 192, 'powers': [932, 646], 'representative': 1498, 'size': 1}
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id: 8176262
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1285, 'group_counter': 1699, 'group_order': 1536, 'label': '192E7', 'order': 192, 'powers': [933, 647], 'representative': 58, 'size': 1}
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id: 8176263
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1286, 'group_counter': 1699, 'group_order': 1536, 'label': '192E-7', 'order': 192, 'powers': [934, 648], 'representative': 1486, 'size': 1}
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id: 8176264
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1287, 'group_counter': 1699, 'group_order': 1536, 'label': '192E11', 'order': 192, 'powers': [935, 651], 'representative': 90, 'size': 1}
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id: 8176265
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1288, 'group_counter': 1699, 'group_order': 1536, 'label': '192E-11', 'order': 192, 'powers': [936, 652], 'representative': 1454, 'size': 1}
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id: 8176266
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1289, 'group_counter': 1699, 'group_order': 1536, 'label': '192E13', 'order': 192, 'powers': [937, 653], 'representative': 110, 'size': 1}
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id: 8176268
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1290, 'group_counter': 1699, 'group_order': 1536, 'label': '192E-13', 'order': 192, 'powers': [938, 654], 'representative': 1434, 'size': 1}
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id: 8176269
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1291, 'group_counter': 1699, 'group_order': 1536, 'label': '192E17', 'order': 192, 'powers': [939, 657], 'representative': 142, 'size': 1}
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id: 8176270
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1292, 'group_counter': 1699, 'group_order': 1536, 'label': '192E-17', 'order': 192, 'powers': [940, 658], 'representative': 1402, 'size': 1}
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id: 8176271
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1293, 'group_counter': 1699, 'group_order': 1536, 'label': '192E19', 'order': 192, 'powers': [941, 659], 'representative': 154, 'size': 1}
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id: 8176272
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1294, 'group_counter': 1699, 'group_order': 1536, 'label': '192E-19', 'order': 192, 'powers': [942, 660], 'representative': 1390, 'size': 1}
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id: 8176273
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1295, 'group_counter': 1699, 'group_order': 1536, 'label': '192E23', 'order': 192, 'powers': [943, 663], 'representative': 186, 'size': 1}
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id: 8176274
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1296, 'group_counter': 1699, 'group_order': 1536, 'label': '192E-23', 'order': 192, 'powers': [944, 664], 'representative': 1358, 'size': 1}
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id: 8176275
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1297, 'group_counter': 1699, 'group_order': 1536, 'label': '192E25', 'order': 192, 'powers': [945, 665], 'representative': 206, 'size': 1}
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id: 8176276
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id: 8176277
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1299, 'group_counter': 1699, 'group_order': 1536, 'label': '192E29', 'order': 192, 'powers': [947, 669], 'representative': 238, 'size': 1}
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id: 8176280
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1300, 'group_counter': 1699, 'group_order': 1536, 'label': '192E-29', 'order': 192, 'powers': [948, 670], 'representative': 1306, 'size': 1}
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id: 8176281
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1301, 'group_counter': 1699, 'group_order': 1536, 'label': '192E31', 'order': 192, 'powers': [949, 671], 'representative': 250, 'size': 1}
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id: 8176282
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id: 8176283
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id: 8176284
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id: 8176285
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id: 8176286
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id: 8176287
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id: 8176288
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id: 8176289
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id: 8176291
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1310, 'group_counter': 1699, 'group_order': 1536, 'label': '192E-43', 'order': 192, 'powers': [958, 661], 'representative': 1198, 'size': 1}
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id: 8176292
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1311, 'group_counter': 1699, 'group_order': 1536, 'label': '192E47', 'order': 192, 'powers': [959, 658], 'representative': 378, 'size': 1}
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id: 8176293
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id: 8176294
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1313, 'group_counter': 1699, 'group_order': 1536, 'label': '192E49', 'order': 192, 'powers': [960, 656], 'representative': 398, 'size': 1}
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id: 8176295
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1314, 'group_counter': 1699, 'group_order': 1536, 'label': '192E-49', 'order': 192, 'powers': [959, 655], 'representative': 1146, 'size': 1}
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id: 8176296
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1315, 'group_counter': 1699, 'group_order': 1536, 'label': '192E53', 'order': 192, 'powers': [958, 652], 'representative': 430, 'size': 1}
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id: 8176297
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1316, 'group_counter': 1699, 'group_order': 1536, 'label': '192E-53', 'order': 192, 'powers': [957, 651], 'representative': 1114, 'size': 1}
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id: 8176298
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1317, 'group_counter': 1699, 'group_order': 1536, 'label': '192E55', 'order': 192, 'powers': [956, 650], 'representative': 442, 'size': 1}
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id: 8176299
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1318, 'group_counter': 1699, 'group_order': 1536, 'label': '192E-55', 'order': 192, 'powers': [955, 649], 'representative': 1102, 'size': 1}
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id: 8176300
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1319, 'group_counter': 1699, 'group_order': 1536, 'label': '192E59', 'order': 192, 'powers': [954, 646], 'representative': 474, 'size': 1}
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id: 8176302
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1320, 'group_counter': 1699, 'group_order': 1536, 'label': '192E-59', 'order': 192, 'powers': [953, 645], 'representative': 1070, 'size': 1}
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id: 8176303
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1321, 'group_counter': 1699, 'group_order': 1536, 'label': '192E61', 'order': 192, 'powers': [952, 644], 'representative': 494, 'size': 1}
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id: 8176304
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1322, 'group_counter': 1699, 'group_order': 1536, 'label': '192E-61', 'order': 192, 'powers': [951, 643], 'representative': 1050, 'size': 1}
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id: 8176305
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1323, 'group_counter': 1699, 'group_order': 1536, 'label': '192E65', 'order': 192, 'powers': [950, 641], 'representative': 526, 'size': 1}
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id: 8176306
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1324, 'group_counter': 1699, 'group_order': 1536, 'label': '192E-65', 'order': 192, 'powers': [949, 642], 'representative': 1018, 'size': 1}
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id: 8176307
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1325, 'group_counter': 1699, 'group_order': 1536, 'label': '192E67', 'order': 192, 'powers': [948, 643], 'representative': 538, 'size': 1}
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id: 8176308
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1326, 'group_counter': 1699, 'group_order': 1536, 'label': '192E-67', 'order': 192, 'powers': [947, 644], 'representative': 1006, 'size': 1}
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id: 8176309
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1327, 'group_counter': 1699, 'group_order': 1536, 'label': '192E71', 'order': 192, 'powers': [946, 647], 'representative': 570, 'size': 1}
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id: 8176310
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1328, 'group_counter': 1699, 'group_order': 1536, 'label': '192E-71', 'order': 192, 'powers': [945, 648], 'representative': 974, 'size': 1}
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id: 8176311
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1329, 'group_counter': 1699, 'group_order': 1536, 'label': '192E73', 'order': 192, 'powers': [944, 649], 'representative': 590, 'size': 1}
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id: 8176313
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1330, 'group_counter': 1699, 'group_order': 1536, 'label': '192E-73', 'order': 192, 'powers': [943, 650], 'representative': 954, 'size': 1}
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id: 8176314
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1331, 'group_counter': 1699, 'group_order': 1536, 'label': '192E77', 'order': 192, 'powers': [942, 653], 'representative': 622, 'size': 1}
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id: 8176315
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1332, 'group_counter': 1699, 'group_order': 1536, 'label': '192E-77', 'order': 192, 'powers': [941, 654], 'representative': 922, 'size': 1}
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id: 8176316
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1333, 'group_counter': 1699, 'group_order': 1536, 'label': '192E79', 'order': 192, 'powers': [940, 655], 'representative': 634, 'size': 1}
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id: 8176317
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1334, 'group_counter': 1699, 'group_order': 1536, 'label': '192E-79', 'order': 192, 'powers': [939, 656], 'representative': 910, 'size': 1}
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id: 8176318
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1335, 'group_counter': 1699, 'group_order': 1536, 'label': '192E83', 'order': 192, 'powers': [938, 659], 'representative': 666, 'size': 1}
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id: 8176319
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1336, 'group_counter': 1699, 'group_order': 1536, 'label': '192E-83', 'order': 192, 'powers': [937, 660], 'representative': 878, 'size': 1}
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id: 8176320
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1337, 'group_counter': 1699, 'group_order': 1536, 'label': '192E85', 'order': 192, 'powers': [936, 661], 'representative': 686, 'size': 1}
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id: 8176321
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1338, 'group_counter': 1699, 'group_order': 1536, 'label': '192E-85', 'order': 192, 'powers': [935, 662], 'representative': 858, 'size': 1}
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id: 8176322
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1339, 'group_counter': 1699, 'group_order': 1536, 'label': '192E89', 'order': 192, 'powers': [934, 665], 'representative': 718, 'size': 1}
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id: 8176324
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1340, 'group_counter': 1699, 'group_order': 1536, 'label': '192E-89', 'order': 192, 'powers': [933, 666], 'representative': 826, 'size': 1}
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id: 8176325
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1341, 'group_counter': 1699, 'group_order': 1536, 'label': '192E91', 'order': 192, 'powers': [932, 667], 'representative': 730, 'size': 1}
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id: 8176326
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1342, 'group_counter': 1699, 'group_order': 1536, 'label': '192E-91', 'order': 192, 'powers': [931, 668], 'representative': 814, 'size': 1}
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id: 8176327
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1343, 'group_counter': 1699, 'group_order': 1536, 'label': '192E95', 'order': 192, 'powers': [930, 671], 'representative': 762, 'size': 1}
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id: 8176328
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1344, 'group_counter': 1699, 'group_order': 1536, 'label': '192E-95', 'order': 192, 'powers': [929, 672], 'representative': 782, 'size': 1}
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id: 8176329
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1345, 'group_counter': 1699, 'group_order': 1536, 'label': '192F1', 'order': 192, 'powers': [963, 673], 'representative': 41, 'size': 1}
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id: 8176330
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1346, 'group_counter': 1699, 'group_order': 1536, 'label': '192F-1', 'order': 192, 'powers': [964, 674], 'representative': 1503, 'size': 1}
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id: 8176331
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1347, 'group_counter': 1699, 'group_order': 1536, 'label': '192F5', 'order': 192, 'powers': [977, 677], 'representative': 205, 'size': 1}
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id: 8176332
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1348, 'group_counter': 1699, 'group_order': 1536, 'label': '192F-5', 'order': 192, 'powers': [978, 678], 'representative': 1339, 'size': 1}
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id: 8176333
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1349, 'group_counter': 1699, 'group_order': 1536, 'label': '192F7', 'order': 192, 'powers': [983, 679], 'representative': 287, 'size': 1}
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id: 8176335
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1350, 'group_counter': 1699, 'group_order': 1536, 'label': '192F-7', 'order': 192, 'powers': [984, 680], 'representative': 1257, 'size': 1}
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id: 8176336
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1351, 'group_counter': 1699, 'group_order': 1536, 'label': '192F11', 'order': 192, 'powers': [988, 683], 'representative': 443, 'size': 1}
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id: 8176337
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1352, 'group_counter': 1699, 'group_order': 1536, 'label': '192F-11', 'order': 192, 'powers': [987, 684], 'representative': 1101, 'size': 1}
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id: 8176338
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1353, 'group_counter': 1699, 'group_order': 1536, 'label': '192F13', 'order': 192, 'powers': [982, 685], 'representative': 525, 'size': 1}
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id: 8176339
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1354, 'group_counter': 1699, 'group_order': 1536, 'label': '192F-13', 'order': 192, 'powers': [981, 686], 'representative': 1019, 'size': 1}
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id: 8176340
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1355, 'group_counter': 1699, 'group_order': 1536, 'label': '192F17', 'order': 192, 'powers': [968, 689], 'representative': 681, 'size': 1}
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id: 8176341
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1356, 'group_counter': 1699, 'group_order': 1536, 'label': '192F-17', 'order': 192, 'powers': [967, 690], 'representative': 863, 'size': 1}
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id: 8176342
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1357, 'group_counter': 1699, 'group_order': 1536, 'label': '192F19', 'order': 192, 'powers': [962, 691], 'representative': 763, 'size': 1}
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id: 8176343
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1358, 'group_counter': 1699, 'group_order': 1536, 'label': '192F-19', 'order': 192, 'powers': [961, 692], 'representative': 781, 'size': 1}
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id: 8176344
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1359, 'group_counter': 1699, 'group_order': 1536, 'label': '192F23', 'order': 192, 'powers': [973, 695], 'representative': 927, 'size': 1}
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id: 8176346
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1360, 'group_counter': 1699, 'group_order': 1536, 'label': '192F-23', 'order': 192, 'powers': [974, 696], 'representative': 617, 'size': 1}
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id: 8176347
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1361, 'group_counter': 1699, 'group_order': 1536, 'label': '192F25', 'order': 192, 'powers': [979, 697], 'representative': 1001, 'size': 1}
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id: 8176348
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1362, 'group_counter': 1699, 'group_order': 1536, 'label': '192F-25', 'order': 192, 'powers': [980, 698], 'representative': 543, 'size': 1}
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id: 8176349
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1363, 'group_counter': 1699, 'group_order': 1536, 'label': '192F29', 'order': 192, 'powers': [992, 701], 'representative': 1165, 'size': 1}
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id: 8176350
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1364, 'group_counter': 1699, 'group_order': 1536, 'label': '192F-29', 'order': 192, 'powers': [991, 702], 'representative': 379, 'size': 1}
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id: 8176351
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1365, 'group_counter': 1699, 'group_order': 1536, 'label': '192F31', 'order': 192, 'powers': [986, 703], 'representative': 1247, 'size': 1}
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id: 8176352
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1366, 'group_counter': 1699, 'group_order': 1536, 'label': '192F-31', 'order': 192, 'powers': [985, 704], 'representative': 297, 'size': 1}
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id: 8176353
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1367, 'group_counter': 1699, 'group_order': 1536, 'label': '192F35', 'order': 192, 'powers': [972, 702], 'representative': 1403, 'size': 1}
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id: 8176354
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1368, 'group_counter': 1699, 'group_order': 1536, 'label': '192F-35', 'order': 192, 'powers': [971, 701], 'representative': 141, 'size': 1}
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id: 8176355
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1369, 'group_counter': 1699, 'group_order': 1536, 'label': '192F37', 'order': 192, 'powers': [966, 700], 'representative': 1485, 'size': 1}
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id: 8176357
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1370, 'group_counter': 1699, 'group_order': 1536, 'label': '192F-37', 'order': 192, 'powers': [965, 699], 'representative': 59, 'size': 1}
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id: 8176358
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1371, 'group_counter': 1699, 'group_order': 1536, 'label': '192F41', 'order': 192, 'powers': [969, 696], 'representative': 105, 'size': 1}
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id: 8176359
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1372, 'group_counter': 1699, 'group_order': 1536, 'label': '192F-41', 'order': 192, 'powers': [970, 695], 'representative': 1439, 'size': 1}
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id: 8176360
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1373, 'group_counter': 1699, 'group_order': 1536, 'label': '192F43', 'order': 192, 'powers': [975, 694], 'representative': 187, 'size': 1}
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id: 8176361
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1374, 'group_counter': 1699, 'group_order': 1536, 'label': '192F-43', 'order': 192, 'powers': [976, 693], 'representative': 1357, 'size': 1}
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id: 8176362
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1375, 'group_counter': 1699, 'group_order': 1536, 'label': '192F47', 'order': 192, 'powers': [989, 690], 'representative': 351, 'size': 1}
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id: 8176363
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1376, 'group_counter': 1699, 'group_order': 1536, 'label': '192F-47', 'order': 192, 'powers': [990, 689], 'representative': 1193, 'size': 1}
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id: 8176364
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1377, 'group_counter': 1699, 'group_order': 1536, 'label': '192F49', 'order': 192, 'powers': [990, 688], 'representative': 425, 'size': 1}
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id: 8176365
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1378, 'group_counter': 1699, 'group_order': 1536, 'label': '192F-49', 'order': 192, 'powers': [989, 687], 'representative': 1119, 'size': 1}
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id: 8176366
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1379, 'group_counter': 1699, 'group_order': 1536, 'label': '192F53', 'order': 192, 'powers': [976, 684], 'representative': 589, 'size': 1}
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id: 8176368
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1380, 'group_counter': 1699, 'group_order': 1536, 'label': '192F-53', 'order': 192, 'powers': [975, 683], 'representative': 955, 'size': 1}
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id: 8176369
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1381, 'group_counter': 1699, 'group_order': 1536, 'label': '192F55', 'order': 192, 'powers': [970, 682], 'representative': 671, 'size': 1}
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id: 8176370
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1382, 'group_counter': 1699, 'group_order': 1536, 'label': '192F-55', 'order': 192, 'powers': [969, 681], 'representative': 873, 'size': 1}
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id: 8176371
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1383, 'group_counter': 1699, 'group_order': 1536, 'label': '192F59', 'order': 192, 'powers': [965, 678], 'representative': 827, 'size': 1}
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id: 8176372
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1384, 'group_counter': 1699, 'group_order': 1536, 'label': '192F-59', 'order': 192, 'powers': [966, 677], 'representative': 717, 'size': 1}
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id: 8176373
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1385, 'group_counter': 1699, 'group_order': 1536, 'label': '192F61', 'order': 192, 'powers': [971, 676], 'representative': 909, 'size': 1}
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id: 8176374
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1386, 'group_counter': 1699, 'group_order': 1536, 'label': '192F-61', 'order': 192, 'powers': [972, 675], 'representative': 635, 'size': 1}
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id: 8176375
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1387, 'group_counter': 1699, 'group_order': 1536, 'label': '192F65', 'order': 192, 'powers': [985, 673], 'representative': 1065, 'size': 1}
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id: 8176376
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1388, 'group_counter': 1699, 'group_order': 1536, 'label': '192F-65', 'order': 192, 'powers': [986, 674], 'representative': 479, 'size': 1}
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id: 8176377
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1389, 'group_counter': 1699, 'group_order': 1536, 'label': '192F67', 'order': 192, 'powers': [991, 675], 'representative': 1147, 'size': 1}
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id: 8176379
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1390, 'group_counter': 1699, 'group_order': 1536, 'label': '192F-67', 'order': 192, 'powers': [992, 676], 'representative': 397, 'size': 1}
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id: 8176380
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1391, 'group_counter': 1699, 'group_order': 1536, 'label': '192F71', 'order': 192, 'powers': [980, 679], 'representative': 1311, 'size': 1}
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id: 8176381
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1392, 'group_counter': 1699, 'group_order': 1536, 'label': '192F-71', 'order': 192, 'powers': [979, 680], 'representative': 233, 'size': 1}
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id: 8176382
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1393, 'group_counter': 1699, 'group_order': 1536, 'label': '192F73', 'order': 192, 'powers': [974, 681], 'representative': 1385, 'size': 1}
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id: 8176383
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1394, 'group_counter': 1699, 'group_order': 1536, 'label': '192F-73', 'order': 192, 'powers': [973, 682], 'representative': 159, 'size': 1}
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id: 8176384
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1395, 'group_counter': 1699, 'group_order': 1536, 'label': '192F77', 'order': 192, 'powers': [961, 685], 'representative': 13, 'size': 1}
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id: 8176385
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1396, 'group_counter': 1699, 'group_order': 1536, 'label': '192F-77', 'order': 192, 'powers': [962, 686], 'representative': 1531, 'size': 1}
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id: 8176386
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1397, 'group_counter': 1699, 'group_order': 1536, 'label': '192F79', 'order': 192, 'powers': [967, 687], 'representative': 95, 'size': 1}
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id: 8176387
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1398, 'group_counter': 1699, 'group_order': 1536, 'label': '192F-79', 'order': 192, 'powers': [968, 688], 'representative': 1449, 'size': 1}
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id: 8176388
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1399, 'group_counter': 1699, 'group_order': 1536, 'label': '192F83', 'order': 192, 'powers': [981, 691], 'representative': 251, 'size': 1}
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id: 8176391
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1400, 'group_counter': 1699, 'group_order': 1536, 'label': '192F-83', 'order': 192, 'powers': [982, 692], 'representative': 1293, 'size': 1}
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id: 8176392
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1401, 'group_counter': 1699, 'group_order': 1536, 'label': '192F85', 'order': 192, 'powers': [987, 693], 'representative': 333, 'size': 1}
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id: 8176393
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1402, 'group_counter': 1699, 'group_order': 1536, 'label': '192F-85', 'order': 192, 'powers': [988, 694], 'representative': 1211, 'size': 1}
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id: 8176394
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1403, 'group_counter': 1699, 'group_order': 1536, 'label': '192F89', 'order': 192, 'powers': [984, 697], 'representative': 489, 'size': 1}
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id: 8176395
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1404, 'group_counter': 1699, 'group_order': 1536, 'label': '192F-89', 'order': 192, 'powers': [983, 698], 'representative': 1055, 'size': 1}
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id: 8176396
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1405, 'group_counter': 1699, 'group_order': 1536, 'label': '192F91', 'order': 192, 'powers': [978, 699], 'representative': 571, 'size': 1}
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id: 8176397
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1406, 'group_counter': 1699, 'group_order': 1536, 'label': '192F-91', 'order': 192, 'powers': [977, 700], 'representative': 973, 'size': 1}
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id: 8176398
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1407, 'group_counter': 1699, 'group_order': 1536, 'label': '192F95', 'order': 192, 'powers': [964, 703], 'representative': 735, 'size': 1}
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id: 8176399
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1408, 'group_counter': 1699, 'group_order': 1536, 'label': '192F-95', 'order': 192, 'powers': [963, 704], 'representative': 809, 'size': 1}
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id: 8176400
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1409, 'group_counter': 1699, 'group_order': 1536, 'label': '192G1', 'order': 192, 'powers': [993, 705], 'representative': 11, 'size': 1}
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id: 8176402
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1410, 'group_counter': 1699, 'group_order': 1536, 'label': '192G-1', 'order': 192, 'powers': [994, 706], 'representative': 1533, 'size': 1}
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id: 8176403
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1411, 'group_counter': 1699, 'group_order': 1536, 'label': '192G5', 'order': 192, 'powers': [995, 709], 'representative': 47, 'size': 1}
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id: 8176404
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1412, 'group_counter': 1699, 'group_order': 1536, 'label': '192G-5', 'order': 192, 'powers': [996, 710], 'representative': 1497, 'size': 1}
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id: 8176405
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1413, 'group_counter': 1699, 'group_order': 1536, 'label': '192G7', 'order': 192, 'powers': [997, 711], 'representative': 61, 'size': 1}
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id: 8176406
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1414, 'group_counter': 1699, 'group_order': 1536, 'label': '192G-7', 'order': 192, 'powers': [998, 712], 'representative': 1483, 'size': 1}
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id: 8176407
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1415, 'group_counter': 1699, 'group_order': 1536, 'label': '192G11', 'order': 192, 'powers': [999, 715], 'representative': 89, 'size': 1}
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id: 8176408
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1416, 'group_counter': 1699, 'group_order': 1536, 'label': '192G-11', 'order': 192, 'powers': [1000, 716], 'representative': 1455, 'size': 1}
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id: 8176409
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1417, 'group_counter': 1699, 'group_order': 1536, 'label': '192G13', 'order': 192, 'powers': [1001, 717], 'representative': 111, 'size': 1}
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id: 8176410
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1418, 'group_counter': 1699, 'group_order': 1536, 'label': '192G-13', 'order': 192, 'powers': [1002, 718], 'representative': 1433, 'size': 1}
-
id: 8176411
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1419, 'group_counter': 1699, 'group_order': 1536, 'label': '192G17', 'order': 192, 'powers': [1003, 721], 'representative': 139, 'size': 1}
-
id: 8176413
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1420, 'group_counter': 1699, 'group_order': 1536, 'label': '192G-17', 'order': 192, 'powers': [1004, 722], 'representative': 1405, 'size': 1}
-
id: 8176414
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1421, 'group_counter': 1699, 'group_order': 1536, 'label': '192G19', 'order': 192, 'powers': [1005, 723], 'representative': 153, 'size': 1}
-
id: 8176415
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1422, 'group_counter': 1699, 'group_order': 1536, 'label': '192G-19', 'order': 192, 'powers': [1006, 724], 'representative': 1391, 'size': 1}
-
id: 8176416
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1423, 'group_counter': 1699, 'group_order': 1536, 'label': '192G23', 'order': 192, 'powers': [1007, 727], 'representative': 189, 'size': 1}
-
id: 8176417
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1424, 'group_counter': 1699, 'group_order': 1536, 'label': '192G-23', 'order': 192, 'powers': [1008, 728], 'representative': 1355, 'size': 1}
-
id: 8176418
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1425, 'group_counter': 1699, 'group_order': 1536, 'label': '192G25', 'order': 192, 'powers': [1009, 729], 'representative': 203, 'size': 1}
-
id: 8176419
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1426, 'group_counter': 1699, 'group_order': 1536, 'label': '192G-25', 'order': 192, 'powers': [1010, 730], 'representative': 1341, 'size': 1}
-
id: 8176420
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1427, 'group_counter': 1699, 'group_order': 1536, 'label': '192G29', 'order': 192, 'powers': [1011, 733], 'representative': 239, 'size': 1}
-
id: 8176421
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1428, 'group_counter': 1699, 'group_order': 1536, 'label': '192G-29', 'order': 192, 'powers': [1012, 734], 'representative': 1305, 'size': 1}
-
id: 8176422
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1429, 'group_counter': 1699, 'group_order': 1536, 'label': '192G31', 'order': 192, 'powers': [1013, 735], 'representative': 253, 'size': 1}
-
id: 8176424
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1430, 'group_counter': 1699, 'group_order': 1536, 'label': '192G-31', 'order': 192, 'powers': [1014, 736], 'representative': 1291, 'size': 1}
-
id: 8176425
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1431, 'group_counter': 1699, 'group_order': 1536, 'label': '192G35', 'order': 192, 'powers': [1015, 734], 'representative': 281, 'size': 1}
-
id: 8176426
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1432, 'group_counter': 1699, 'group_order': 1536, 'label': '192G-35', 'order': 192, 'powers': [1016, 733], 'representative': 1263, 'size': 1}
-
id: 8176427
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1433, 'group_counter': 1699, 'group_order': 1536, 'label': '192G37', 'order': 192, 'powers': [1017, 732], 'representative': 303, 'size': 1}
-
id: 8176428
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1434, 'group_counter': 1699, 'group_order': 1536, 'label': '192G-37', 'order': 192, 'powers': [1018, 731], 'representative': 1241, 'size': 1}
-
id: 8176429
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1435, 'group_counter': 1699, 'group_order': 1536, 'label': '192G41', 'order': 192, 'powers': [1019, 728], 'representative': 331, 'size': 1}
-
id: 8176430
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1436, 'group_counter': 1699, 'group_order': 1536, 'label': '192G-41', 'order': 192, 'powers': [1020, 727], 'representative': 1213, 'size': 1}
-
id: 8176431
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1437, 'group_counter': 1699, 'group_order': 1536, 'label': '192G43', 'order': 192, 'powers': [1021, 726], 'representative': 345, 'size': 1}
-
id: 8176432
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1438, 'group_counter': 1699, 'group_order': 1536, 'label': '192G-43', 'order': 192, 'powers': [1022, 725], 'representative': 1199, 'size': 1}
-
id: 8176433
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1439, 'group_counter': 1699, 'group_order': 1536, 'label': '192G47', 'order': 192, 'powers': [1023, 722], 'representative': 381, 'size': 1}
-
id: 8176435
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1440, 'group_counter': 1699, 'group_order': 1536, 'label': '192G-47', 'order': 192, 'powers': [1024, 721], 'representative': 1163, 'size': 1}
-
id: 8176436
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1441, 'group_counter': 1699, 'group_order': 1536, 'label': '192G49', 'order': 192, 'powers': [1024, 720], 'representative': 395, 'size': 1}
-
id: 8176437
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1442, 'group_counter': 1699, 'group_order': 1536, 'label': '192G-49', 'order': 192, 'powers': [1023, 719], 'representative': 1149, 'size': 1}
-
id: 8176438
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1443, 'group_counter': 1699, 'group_order': 1536, 'label': '192G53', 'order': 192, 'powers': [1022, 716], 'representative': 431, 'size': 1}
-
id: 8176439
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1444, 'group_counter': 1699, 'group_order': 1536, 'label': '192G-53', 'order': 192, 'powers': [1021, 715], 'representative': 1113, 'size': 1}
-
id: 8176440
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1445, 'group_counter': 1699, 'group_order': 1536, 'label': '192G55', 'order': 192, 'powers': [1020, 714], 'representative': 445, 'size': 1}
-
id: 8176441
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1446, 'group_counter': 1699, 'group_order': 1536, 'label': '192G-55', 'order': 192, 'powers': [1019, 713], 'representative': 1099, 'size': 1}
-
id: 8176442
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1447, 'group_counter': 1699, 'group_order': 1536, 'label': '192G59', 'order': 192, 'powers': [1018, 710], 'representative': 473, 'size': 1}
-
id: 8176443
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1448, 'group_counter': 1699, 'group_order': 1536, 'label': '192G-59', 'order': 192, 'powers': [1017, 709], 'representative': 1071, 'size': 1}
-
id: 8176444
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1449, 'group_counter': 1699, 'group_order': 1536, 'label': '192G61', 'order': 192, 'powers': [1016, 708], 'representative': 495, 'size': 1}
-
id: 8176446
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1450, 'group_counter': 1699, 'group_order': 1536, 'label': '192G-61', 'order': 192, 'powers': [1015, 707], 'representative': 1049, 'size': 1}
-
id: 8176447
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1451, 'group_counter': 1699, 'group_order': 1536, 'label': '192G65', 'order': 192, 'powers': [1014, 705], 'representative': 523, 'size': 1}
-
id: 8176448
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1452, 'group_counter': 1699, 'group_order': 1536, 'label': '192G-65', 'order': 192, 'powers': [1013, 706], 'representative': 1021, 'size': 1}
-
id: 8176449
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1453, 'group_counter': 1699, 'group_order': 1536, 'label': '192G67', 'order': 192, 'powers': [1012, 707], 'representative': 537, 'size': 1}
-
id: 8176450
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1454, 'group_counter': 1699, 'group_order': 1536, 'label': '192G-67', 'order': 192, 'powers': [1011, 708], 'representative': 1007, 'size': 1}
-
id: 8176451
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1455, 'group_counter': 1699, 'group_order': 1536, 'label': '192G71', 'order': 192, 'powers': [1010, 711], 'representative': 573, 'size': 1}
-
id: 8176452
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1456, 'group_counter': 1699, 'group_order': 1536, 'label': '192G-71', 'order': 192, 'powers': [1009, 712], 'representative': 971, 'size': 1}
-
id: 8176453
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1457, 'group_counter': 1699, 'group_order': 1536, 'label': '192G73', 'order': 192, 'powers': [1008, 713], 'representative': 587, 'size': 1}
-
id: 8176454
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1458, 'group_counter': 1699, 'group_order': 1536, 'label': '192G-73', 'order': 192, 'powers': [1007, 714], 'representative': 957, 'size': 1}
-
id: 8176455
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1459, 'group_counter': 1699, 'group_order': 1536, 'label': '192G77', 'order': 192, 'powers': [1006, 717], 'representative': 623, 'size': 1}
-
id: 8176457
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1460, 'group_counter': 1699, 'group_order': 1536, 'label': '192G-77', 'order': 192, 'powers': [1005, 718], 'representative': 921, 'size': 1}
-
id: 8176458
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1461, 'group_counter': 1699, 'group_order': 1536, 'label': '192G79', 'order': 192, 'powers': [1004, 719], 'representative': 637, 'size': 1}
-
id: 8176459
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1462, 'group_counter': 1699, 'group_order': 1536, 'label': '192G-79', 'order': 192, 'powers': [1003, 720], 'representative': 907, 'size': 1}
-
id: 8176460
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1463, 'group_counter': 1699, 'group_order': 1536, 'label': '192G83', 'order': 192, 'powers': [1002, 723], 'representative': 665, 'size': 1}
-
id: 8176461
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1464, 'group_counter': 1699, 'group_order': 1536, 'label': '192G-83', 'order': 192, 'powers': [1001, 724], 'representative': 879, 'size': 1}
-
id: 8176462
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1465, 'group_counter': 1699, 'group_order': 1536, 'label': '192G85', 'order': 192, 'powers': [1000, 725], 'representative': 687, 'size': 1}
-
id: 8176463
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1466, 'group_counter': 1699, 'group_order': 1536, 'label': '192G-85', 'order': 192, 'powers': [999, 726], 'representative': 857, 'size': 1}
-
id: 8176464
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1467, 'group_counter': 1699, 'group_order': 1536, 'label': '192G89', 'order': 192, 'powers': [998, 729], 'representative': 715, 'size': 1}
-
id: 8176465
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1468, 'group_counter': 1699, 'group_order': 1536, 'label': '192G-89', 'order': 192, 'powers': [997, 730], 'representative': 829, 'size': 1}
-
id: 8176466
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1469, 'group_counter': 1699, 'group_order': 1536, 'label': '192G91', 'order': 192, 'powers': [996, 731], 'representative': 729, 'size': 1}
-
id: 8176468
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1470, 'group_counter': 1699, 'group_order': 1536, 'label': '192G-91', 'order': 192, 'powers': [995, 732], 'representative': 815, 'size': 1}
-
id: 8176469
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1471, 'group_counter': 1699, 'group_order': 1536, 'label': '192G95', 'order': 192, 'powers': [994, 735], 'representative': 765, 'size': 1}
-
id: 8176470
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1472, 'group_counter': 1699, 'group_order': 1536, 'label': '192G-95', 'order': 192, 'powers': [993, 736], 'representative': 779, 'size': 1}
-
id: 8176471
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1473, 'group_counter': 1699, 'group_order': 1536, 'label': '192H1', 'order': 192, 'powers': [997, 737], 'representative': 57, 'size': 1}
-
id: 8176472
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1474, 'group_counter': 1699, 'group_order': 1536, 'label': '192H-1', 'order': 192, 'powers': [998, 738], 'representative': 1487, 'size': 1}
-
id: 8176473
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1475, 'group_counter': 1699, 'group_order': 1536, 'label': '192H5', 'order': 192, 'powers': [1015, 741], 'representative': 285, 'size': 1}
-
id: 8176474
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1476, 'group_counter': 1699, 'group_order': 1536, 'label': '192H-5', 'order': 192, 'powers': [1016, 742], 'representative': 1259, 'size': 1}
-
id: 8176475
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1477, 'group_counter': 1699, 'group_order': 1536, 'label': '192H7', 'order': 192, 'powers': [1024, 743], 'representative': 399, 'size': 1}
-
id: 8176476
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1478, 'group_counter': 1699, 'group_order': 1536, 'label': '192H-7', 'order': 192, 'powers': [1023, 744], 'representative': 1145, 'size': 1}
-
id: 8176477
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1479, 'group_counter': 1699, 'group_order': 1536, 'label': '192H11', 'order': 192, 'powers': [1006, 747], 'representative': 619, 'size': 1}
-
id: 8176479
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1480, 'group_counter': 1699, 'group_order': 1536, 'label': '192H-11', 'order': 192, 'powers': [1005, 748], 'representative': 925, 'size': 1}
-
id: 8176480
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1481, 'group_counter': 1699, 'group_order': 1536, 'label': '192H13', 'order': 192, 'powers': [996, 749], 'representative': 733, 'size': 1}
-
id: 8176481
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1482, 'group_counter': 1699, 'group_order': 1536, 'label': '192H-13', 'order': 192, 'powers': [995, 750], 'representative': 811, 'size': 1}
-
id: 8176482
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1483, 'group_counter': 1699, 'group_order': 1536, 'label': '192H17', 'order': 192, 'powers': [1007, 753], 'representative': 953, 'size': 1}
-
id: 8176483
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1484, 'group_counter': 1699, 'group_order': 1536, 'label': '192H-17', 'order': 192, 'powers': [1008, 754], 'representative': 591, 'size': 1}
-
id: 8176484
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1485, 'group_counter': 1699, 'group_order': 1536, 'label': '192H19', 'order': 192, 'powers': [1017, 755], 'representative': 1067, 'size': 1}
-
id: 8176485
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1486, 'group_counter': 1699, 'group_order': 1536, 'label': '192H-19', 'order': 192, 'powers': [1018, 756], 'representative': 477, 'size': 1}
-
id: 8176486
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1487, 'group_counter': 1699, 'group_order': 1536, 'label': '192H23', 'order': 192, 'powers': [1014, 759], 'representative': 1295, 'size': 1}
-
id: 8176487
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1488, 'group_counter': 1699, 'group_order': 1536, 'label': '192H-23', 'order': 192, 'powers': [1013, 760], 'representative': 249, 'size': 1}
-
id: 8176488
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1489, 'group_counter': 1699, 'group_order': 1536, 'label': '192H25', 'order': 192, 'powers': [1004, 761], 'representative': 1401, 'size': 1}
-
id: 8176490
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1490, 'group_counter': 1699, 'group_order': 1536, 'label': '192H-25', 'order': 192, 'powers': [1003, 762], 'representative': 143, 'size': 1}
-
id: 8176491
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1491, 'group_counter': 1699, 'group_order': 1536, 'label': '192H29', 'order': 192, 'powers': [999, 765], 'representative': 93, 'size': 1}
-
id: 8176492
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1492, 'group_counter': 1699, 'group_order': 1536, 'label': '192H-29', 'order': 192, 'powers': [1000, 766], 'representative': 1451, 'size': 1}
-
id: 8176493
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1493, 'group_counter': 1699, 'group_order': 1536, 'label': '192H31', 'order': 192, 'powers': [1009, 767], 'representative': 207, 'size': 1}
-
id: 8176494
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1494, 'group_counter': 1699, 'group_order': 1536, 'label': '192H-31', 'order': 192, 'powers': [1010, 768], 'representative': 1337, 'size': 1}
-
id: 8176495
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1495, 'group_counter': 1699, 'group_order': 1536, 'label': '192H35', 'order': 192, 'powers': [1022, 766], 'representative': 427, 'size': 1}
-
id: 8176496
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1496, 'group_counter': 1699, 'group_order': 1536, 'label': '192H-35', 'order': 192, 'powers': [1021, 765], 'representative': 1117, 'size': 1}
-
id: 8176497
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1497, 'group_counter': 1699, 'group_order': 1536, 'label': '192H37', 'order': 192, 'powers': [1012, 764], 'representative': 541, 'size': 1}
-
id: 8176498
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1498, 'group_counter': 1699, 'group_order': 1536, 'label': '192H-37', 'order': 192, 'powers': [1011, 763], 'representative': 1003, 'size': 1}
-
id: 8176499
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1499, 'group_counter': 1699, 'group_order': 1536, 'label': '192H41', 'order': 192, 'powers': [994, 760], 'representative': 761, 'size': 1}
-
id: 8176502
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1500, 'group_counter': 1699, 'group_order': 1536, 'label': '192H-41', 'order': 192, 'powers': [993, 759], 'representative': 783, 'size': 1}
-
id: 8176503
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1501, 'group_counter': 1699, 'group_order': 1536, 'label': '192H43', 'order': 192, 'powers': [1001, 758], 'representative': 875, 'size': 1}
-
id: 8176504
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1502, 'group_counter': 1699, 'group_order': 1536, 'label': '192H-43', 'order': 192, 'powers': [1002, 757], 'representative': 669, 'size': 1}
-
id: 8176505
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1503, 'group_counter': 1699, 'group_order': 1536, 'label': '192H47', 'order': 192, 'powers': [1019, 754], 'representative': 1103, 'size': 1}
-
id: 8176506
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1504, 'group_counter': 1699, 'group_order': 1536, 'label': '192H-47', 'order': 192, 'powers': [1020, 753], 'representative': 441, 'size': 1}
-
id: 8176507
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1505, 'group_counter': 1699, 'group_order': 1536, 'label': '192H49', 'order': 192, 'powers': [1020, 752], 'representative': 1209, 'size': 1}
-
id: 8176508
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1506, 'group_counter': 1699, 'group_order': 1536, 'label': '192H-49', 'order': 192, 'powers': [1019, 751], 'representative': 335, 'size': 1}
-
id: 8176509
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1507, 'group_counter': 1699, 'group_order': 1536, 'label': '192H53', 'order': 192, 'powers': [1002, 748], 'representative': 1437, 'size': 1}
-
id: 8176510
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1508, 'group_counter': 1699, 'group_order': 1536, 'label': '192H-53', 'order': 192, 'powers': [1001, 747], 'representative': 107, 'size': 1}
-
id: 8176511
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1509, 'group_counter': 1699, 'group_order': 1536, 'label': '192H55', 'order': 192, 'powers': [993, 746], 'representative': 15, 'size': 1}
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id: 8176513
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1510, 'group_counter': 1699, 'group_order': 1536, 'label': '192H-55', 'order': 192, 'powers': [994, 745], 'representative': 1529, 'size': 1}
-
id: 8176514
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1511, 'group_counter': 1699, 'group_order': 1536, 'label': '192H59', 'order': 192, 'powers': [1011, 742], 'representative': 235, 'size': 1}
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id: 8176515
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1512, 'group_counter': 1699, 'group_order': 1536, 'label': '192H-59', 'order': 192, 'powers': [1012, 741], 'representative': 1309, 'size': 1}
-
id: 8176516
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1513, 'group_counter': 1699, 'group_order': 1536, 'label': '192H61', 'order': 192, 'powers': [1021, 740], 'representative': 349, 'size': 1}
-
id: 8176517
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1514, 'group_counter': 1699, 'group_order': 1536, 'label': '192H-61', 'order': 192, 'powers': [1022, 739], 'representative': 1195, 'size': 1}
-
id: 8176518
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1515, 'group_counter': 1699, 'group_order': 1536, 'label': '192H65', 'order': 192, 'powers': [1010, 737], 'representative': 569, 'size': 1}
-
id: 8176519
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1516, 'group_counter': 1699, 'group_order': 1536, 'label': '192H-65', 'order': 192, 'powers': [1009, 738], 'representative': 975, 'size': 1}
-
id: 8176520
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1517, 'group_counter': 1699, 'group_order': 1536, 'label': '192H67', 'order': 192, 'powers': [1000, 739], 'representative': 683, 'size': 1}
-
id: 8176521
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1518, 'group_counter': 1699, 'group_order': 1536, 'label': '192H-67', 'order': 192, 'powers': [999, 740], 'representative': 861, 'size': 1}
-
id: 8176522
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1519, 'group_counter': 1699, 'group_order': 1536, 'label': '192H71', 'order': 192, 'powers': [1003, 743], 'representative': 911, 'size': 1}
-
id: 8176524
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1520, 'group_counter': 1699, 'group_order': 1536, 'label': '192H-71', 'order': 192, 'powers': [1004, 744], 'representative': 633, 'size': 1}
-
id: 8176525
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1521, 'group_counter': 1699, 'group_order': 1536, 'label': '192H73', 'order': 192, 'powers': [1013, 745], 'representative': 1017, 'size': 1}
-
id: 8176526
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1522, 'group_counter': 1699, 'group_order': 1536, 'label': '192H-73', 'order': 192, 'powers': [1014, 746], 'representative': 527, 'size': 1}
-
id: 8176527
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1523, 'group_counter': 1699, 'group_order': 1536, 'label': '192H77', 'order': 192, 'powers': [1018, 749], 'representative': 1245, 'size': 1}
-
id: 8176528
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1524, 'group_counter': 1699, 'group_order': 1536, 'label': '192H-77', 'order': 192, 'powers': [1017, 750], 'representative': 299, 'size': 1}
-
id: 8176529
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1525, 'group_counter': 1699, 'group_order': 1536, 'label': '192H79', 'order': 192, 'powers': [1008, 751], 'representative': 1359, 'size': 1}
-
id: 8176530
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1526, 'group_counter': 1699, 'group_order': 1536, 'label': '192H-79', 'order': 192, 'powers': [1007, 752], 'representative': 185, 'size': 1}
-
id: 8176531
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1527, 'group_counter': 1699, 'group_order': 1536, 'label': '192H83', 'order': 192, 'powers': [995, 755], 'representative': 43, 'size': 1}
-
id: 8176532
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1528, 'group_counter': 1699, 'group_order': 1536, 'label': '192H-83', 'order': 192, 'powers': [996, 756], 'representative': 1501, 'size': 1}
-
id: 8176533
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1529, 'group_counter': 1699, 'group_order': 1536, 'label': '192H85', 'order': 192, 'powers': [1005, 757], 'representative': 157, 'size': 1}
-
id: 8176535
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1530, 'group_counter': 1699, 'group_order': 1536, 'label': '192H-85', 'order': 192, 'powers': [1006, 758], 'representative': 1387, 'size': 1}
-
id: 8176536
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1531, 'group_counter': 1699, 'group_order': 1536, 'label': '192H89', 'order': 192, 'powers': [1023, 761], 'representative': 377, 'size': 1}
-
id: 8176537
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1532, 'group_counter': 1699, 'group_order': 1536, 'label': '192H-89', 'order': 192, 'powers': [1024, 762], 'representative': 1167, 'size': 1}
-
id: 8176538
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1533, 'group_counter': 1699, 'group_order': 1536, 'label': '192H91', 'order': 192, 'powers': [1016, 763], 'representative': 491, 'size': 1}
-
id: 8176539
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1534, 'group_counter': 1699, 'group_order': 1536, 'label': '192H-91', 'order': 192, 'powers': [1015, 764], 'representative': 1053, 'size': 1}
-
id: 8176540
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1535, 'group_counter': 1699, 'group_order': 1536, 'label': '192H95', 'order': 192, 'powers': [998, 767], 'representative': 719, 'size': 1}
-
id: 8176541
{'aut_label': '192A1', 'centralizer': '1.a1', 'counter': 1536, 'group_counter': 1699, 'group_order': 1536, 'label': '192H-95', 'order': 192, 'powers': [997, 768], 'representative': 825, 'size': 1}
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gps_qchar • Show schema
Hide schema
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id: 1856
{'cdim': 1, 'counter': 1, 'faithful': False, 'group': '1536.1699', 'group_order': 1536, 'image': None, 'label': '1536.1699.1a', 'multiplicity': 1, 'nt': [1, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
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id: 1867
{'cdim': 1, 'counter': 2, 'faithful': False, 'group': '1536.1699', 'group_order': 1536, 'image': None, 'label': '1536.1699.1b', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, -1, 1, -1, -1, -1, 1, 1, 1, -1, -1, 1, -1, -1, -1, 1, -1, 1, -1, -1, 1, 1, 1, 1, -1, 1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, -1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, -1, -1, -1, 1, -1, -1, -1, -1, -1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, -1, -1, -1, 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id: 1944
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id: 1858
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id: 1877
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id: 1879
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id: 1880
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id: 1947
{'cdim': 1, 'counter': 92, 'faithful': False, 'group': '1536.1699', 'group_order': 1536, 'image': None, 'label': '1536.1699.1cn', 'multiplicity': 64, 'nt': [192, 0], 'qdim': 64, 'qvalues': [64, 64, -64, -64, -32, -32, 64, 0, -64, 64, 0, 0, -64, 0, 0, 0, 0, 0, -32, -32, 32, 32, 32, 32, 0, 0, 0, 0, 0, 64, 0, 0, 0, 64, -64, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 64, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, -32, 32, 0, 0, -32, 0, 32, -32, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 32, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, -32, 32, 32, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, -32, 32, -32, 0, 32, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
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group 1536.1699 does not appear in gps_char
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gps_subgroup_search • Show schema
Hide schema
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id: 982784
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.1699', 'ambient_counter': 1699, 'ambient_order': 1536, 'ambient_tex': 'C_8\\times C_{192}', 'central': True, 'central_factor': False, 'centralizer_order': 1536, 'characteristic': True, 'core_order': 1536, 'counter': 1, 'cyclic': False, 'direct': True, 'hall': 6, 'label': '1536.1699.1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1.a1', 'outer_equivalence': True, 'perfect': False, 'proper': False, 'quotient': '1.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 1, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_1', 'simple': False, 'solvable': True, 'special_labels': ['Z', 'F', 'R', 'U0', 'L0', 'D0', 'C0'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '1536.1699', 'subgroup_hash': 1994011956018114, 'subgroup_order': 1536, 'subgroup_tex': 'C_8\\times C_{192}', 'supersolvable': True, 'sylow': 0}
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id: 982795
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.1699', 'ambient_counter': 1699, 'ambient_order': 1536, 'ambient_tex': 'C_8\\times C_{192}', 'central': True, 'central_factor': False, 'centralizer_order': 1536, 'characteristic': True, 'core_order': 768, 'counter': 2, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.1699.2.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': ['C1'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '768.316', 'subgroup_hash': 316, 'subgroup_order': 768, 'subgroup_tex': 'C_8\\times C_{96}', 'supersolvable': True, 'sylow': 0}
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id: 982806
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.1699', 'ambient_counter': 1699, 'ambient_order': 1536, 'ambient_tex': 'C_8\\times C_{192}', 'central': True, 'central_factor': False, 'centralizer_order': 1536, 'characteristic': False, 'core_order': 768, 'counter': 3, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.1699.2.b1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '768.497', 'subgroup_hash': 497, 'subgroup_order': 768, 'subgroup_tex': 'C_4\\times C_{192}', 'supersolvable': True, 'sylow': 0}
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id: 982817
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.1699', 'ambient_counter': 1699, 'ambient_order': 1536, 'ambient_tex': 'C_8\\times C_{192}', 'central': True, 'central_factor': False, 'centralizer_order': 1536, 'characteristic': True, 'core_order': 512, 'counter': 4, 'cyclic': False, 'direct': True, 'hall': 2, 'label': '1536.1699.3.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '3.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '3.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 3, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '512.1699', 'subgroup_hash': 1994011956017986, 'subgroup_order': 512, 'subgroup_tex': 'C_8\\times C_{64}', 'supersolvable': True, 'sylow': 2}
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id: 982828
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.1699', 'ambient_counter': 1699, 'ambient_order': 1536, 'ambient_tex': 'C_8\\times C_{192}', 'central': True, 'central_factor': False, 'centralizer_order': 1536, 'characteristic': True, 'core_order': 384, 'counter': 5, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.1699.4.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '384.446', 'subgroup_hash': 446, 'subgroup_order': 384, 'subgroup_tex': 'C_8\\times C_{48}', 'supersolvable': True, 'sylow': 0}
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id: 982839
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.1699', 'ambient_counter': 1699, 'ambient_order': 1536, 'ambient_tex': 'C_8\\times C_{192}', 'central': True, 'central_factor': False, 'centralizer_order': 1536, 'characteristic': True, 'core_order': 384, 'counter': 6, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.1699.4.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '384.532', 'subgroup_hash': 532, 'subgroup_order': 384, 'subgroup_tex': 'C_4\\times C_{96}', 'supersolvable': True, 'sylow': 0}
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id: 982850
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.1699', 'ambient_counter': 1699, 'ambient_order': 1536, 'ambient_tex': 'C_8\\times C_{192}', 'central': True, 'central_factor': False, 'centralizer_order': 1536, 'characteristic': True, 'core_order': 384, 'counter': 7, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.1699.4.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': ['C2'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '384.532', 'subgroup_hash': 532, 'subgroup_order': 384, 'subgroup_tex': 'C_4\\times C_{96}', 'supersolvable': True, 'sylow': 0}
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id: 982861
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.1699', 'ambient_counter': 1699, 'ambient_order': 1536, 'ambient_tex': 'C_8\\times C_{192}', 'central': True, 'central_factor': False, 'centralizer_order': 1536, 'characteristic': False, 'core_order': 384, 'counter': 8, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.1699.4.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '384.563', 'subgroup_hash': 563, 'subgroup_order': 384, 'subgroup_tex': 'C_2\\times C_{192}', 'supersolvable': True, 'sylow': 0}
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id: 982863
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.1699', 'ambient_counter': 1699, 'ambient_order': 1536, 'ambient_tex': 'C_8\\times C_{192}', 'central': True, 'central_factor': False, 'centralizer_order': 1536, 'characteristic': True, 'core_order': 256, 'counter': 9, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.1699.6.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '6.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '6.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 6, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '256.316', 'subgroup_hash': 316, 'subgroup_order': 256, 'subgroup_tex': 'C_8\\times C_{32}', 'supersolvable': True, 'sylow': 0}
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id: 982785
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.1699', 'ambient_counter': 1699, 'ambient_order': 1536, 'ambient_tex': 'C_8\\times C_{192}', 'central': True, 'central_factor': False, 'centralizer_order': 1536, 'characteristic': False, 'core_order': 256, 'counter': 10, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.1699.6.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '6.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '6.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 6, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '256.497', 'subgroup_hash': 497, 'subgroup_order': 256, 'subgroup_tex': 'C_4\\times C_{64}', 'supersolvable': True, 'sylow': 0}
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id: 982786
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.1699', 'ambient_counter': 1699, 'ambient_order': 1536, 'ambient_tex': 'C_8\\times C_{192}', 'central': True, 'central_factor': False, 'centralizer_order': 1536, 'characteristic': True, 'core_order': 192, 'counter': 11, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.1699.8.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '192.127', 'subgroup_hash': 127, 'subgroup_order': 192, 'subgroup_tex': 'C_8\\times C_{24}', 'supersolvable': True, 'sylow': 0}
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id: 982787
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.1699', 'ambient_counter': 1699, 'ambient_order': 1536, 'ambient_tex': 'C_8\\times C_{192}', 'central': True, 'central_factor': False, 'centralizer_order': 1536, 'characteristic': True, 'core_order': 192, 'counter': 12, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.1699.8.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '192.151', 'subgroup_hash': 151, 'subgroup_order': 192, 'subgroup_tex': 'C_4\\times C_{48}', 'supersolvable': True, 'sylow': 0}
-
id: 982788
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.1699', 'ambient_counter': 1699, 'ambient_order': 1536, 'ambient_tex': 'C_8\\times C_{192}', 'central': True, 'central_factor': False, 'centralizer_order': 1536, 'characteristic': True, 'core_order': 192, 'counter': 13, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.1699.8.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': ['C3'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '192.151', 'subgroup_hash': 151, 'subgroup_order': 192, 'subgroup_tex': 'C_4\\times C_{48}', 'supersolvable': True, 'sylow': 0}
-
id: 982789
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.1699', 'ambient_counter': 1699, 'ambient_order': 1536, 'ambient_tex': 'C_8\\times C_{192}', 'central': True, 'central_factor': False, 'centralizer_order': 1536, 'characteristic': False, 'core_order': 192, 'counter': 14, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.1699.8.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '192.175', 'subgroup_hash': 175, 'subgroup_order': 192, 'subgroup_tex': 'C_2\\times C_{96}', 'supersolvable': True, 'sylow': 0}
-
id: 982790
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.1699', 'ambient_counter': 1699, 'ambient_order': 1536, 'ambient_tex': 'C_8\\times C_{192}', 'central': True, 'central_factor': False, 'centralizer_order': 1536, 'characteristic': False, 'core_order': 192, 'counter': 15, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.1699.8.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '192.175', 'subgroup_hash': 175, 'subgroup_order': 192, 'subgroup_tex': 'C_2\\times C_{96}', 'supersolvable': True, 'sylow': 0}
-
id: 982791
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1536.1699', 'ambient_counter': 1699, 'ambient_order': 1536, 'ambient_tex': 'C_8\\times C_{192}', 'central': True, 'central_factor': False, 'centralizer_order': 1536, 'characteristic': False, 'core_order': 192, 'counter': 16, 'cyclic': True, 'direct': True, 'hall': 0, 'label': '1536.1699.8.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '192.2', 'subgroup_hash': 2, 'subgroup_order': 192, 'subgroup_tex': 'C_{192}', 'supersolvable': True, 'sylow': 0}
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id: 982792
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.1699', 'ambient_counter': 1699, 'ambient_order': 1536, 'ambient_tex': 'C_8\\times C_{192}', 'central': True, 'central_factor': False, 'centralizer_order': 1536, 'characteristic': True, 'core_order': 128, 'counter': 17, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.1699.12.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '12.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '12.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '128.42', 'subgroup_hash': 42, 'subgroup_order': 128, 'subgroup_tex': 'C_8\\times C_{16}', 'supersolvable': True, 'sylow': 0}
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id: 982793
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.1699', 'ambient_counter': 1699, 'ambient_order': 1536, 'ambient_tex': 'C_8\\times C_{192}', 'central': True, 'central_factor': False, 'centralizer_order': 1536, 'characteristic': True, 'core_order': 128, 'counter': 18, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.1699.12.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '12.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '12.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '128.128', 'subgroup_hash': 128, 'subgroup_order': 128, 'subgroup_tex': 'C_4\\times C_{32}', 'supersolvable': True, 'sylow': 0}
-
id: 982794
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.1699', 'ambient_counter': 1699, 'ambient_order': 1536, 'ambient_tex': 'C_8\\times C_{192}', 'central': True, 'central_factor': False, 'centralizer_order': 1536, 'characteristic': True, 'core_order': 128, 'counter': 19, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.1699.12.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '12.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '12.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_6', 'simple': False, 'solvable': True, 'special_labels': ['Phi'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '128.128', 'subgroup_hash': 128, 'subgroup_order': 128, 'subgroup_tex': 'C_4\\times C_{32}', 'supersolvable': True, 'sylow': 0}
-
id: 982796
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.1699', 'ambient_counter': 1699, 'ambient_order': 1536, 'ambient_tex': 'C_8\\times C_{192}', 'central': True, 'central_factor': False, 'centralizer_order': 1536, 'characteristic': False, 'core_order': 128, 'counter': 20, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.1699.12.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '12.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '12.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '128.159', 'subgroup_hash': 159, 'subgroup_order': 128, 'subgroup_tex': 'C_2\\times C_{64}', 'supersolvable': True, 'sylow': 0}
-
id: 982797
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.1699', 'ambient_counter': 1699, 'ambient_order': 1536, 'ambient_tex': 'C_8\\times C_{192}', 'central': True, 'central_factor': False, 'centralizer_order': 1536, 'characteristic': False, 'core_order': 96, 'counter': 21, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.1699.16.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '96.46', 'subgroup_hash': 46, 'subgroup_order': 96, 'subgroup_tex': 'C_4\\times C_{24}', 'supersolvable': True, 'sylow': 0}
-
id: 982798
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.1699', 'ambient_counter': 1699, 'ambient_order': 1536, 'ambient_tex': 'C_8\\times C_{192}', 'central': True, 'central_factor': False, 'centralizer_order': 1536, 'characteristic': True, 'core_order': 96, 'counter': 22, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.1699.16.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '96.46', 'subgroup_hash': 46, 'subgroup_order': 96, 'subgroup_tex': 'C_4\\times C_{24}', 'supersolvable': True, 'sylow': 0}
-
id: 982799
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.1699', 'ambient_counter': 1699, 'ambient_order': 1536, 'ambient_tex': 'C_8\\times C_{192}', 'central': True, 'central_factor': False, 'centralizer_order': 1536, 'characteristic': False, 'core_order': 96, 'counter': 23, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.1699.16.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '96.59', 'subgroup_hash': 59, 'subgroup_order': 96, 'subgroup_tex': 'C_2\\times C_{48}', 'supersolvable': True, 'sylow': 0}
-
id: 982800
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.1699', 'ambient_counter': 1699, 'ambient_order': 1536, 'ambient_tex': 'C_8\\times C_{192}', 'central': True, 'central_factor': False, 'centralizer_order': 1536, 'characteristic': True, 'core_order': 96, 'counter': 24, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.1699.16.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '96.59', 'subgroup_hash': 59, 'subgroup_order': 96, 'subgroup_tex': 'C_2\\times C_{48}', 'supersolvable': True, 'sylow': 0}
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id: 982801
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.1699', 'ambient_counter': 1699, 'ambient_order': 1536, 'ambient_tex': 'C_8\\times C_{192}', 'central': True, 'central_factor': False, 'centralizer_order': 1536, 'characteristic': True, 'core_order': 96, 'counter': 25, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.1699.16.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2', 'simple': False, 'solvable': True, 'special_labels': ['C4'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '96.59', 'subgroup_hash': 59, 'subgroup_order': 96, 'subgroup_tex': 'C_2\\times C_{48}', 'supersolvable': True, 'sylow': 0}
-
id: 982802
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1536.1699', 'ambient_counter': 1699, 'ambient_order': 1536, 'ambient_tex': 'C_8\\times C_{192}', 'central': True, 'central_factor': False, 'centralizer_order': 1536, 'characteristic': False, 'core_order': 96, 'counter': 26, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1536.1699.16.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '96.2', 'subgroup_hash': 2, 'subgroup_order': 96, 'subgroup_tex': 'C_{96}', 'supersolvable': True, 'sylow': 0}
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id: 982803
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1536.1699', 'ambient_counter': 1699, 'ambient_order': 1536, 'ambient_tex': 'C_8\\times C_{192}', 'central': True, 'central_factor': False, 'centralizer_order': 1536, 'characteristic': False, 'core_order': 96, 'counter': 27, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1536.1699.16.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '96.2', 'subgroup_hash': 2, 'subgroup_order': 96, 'subgroup_tex': 'C_{96}', 'supersolvable': True, 'sylow': 0}
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id: 982804
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.1699', 'ambient_counter': 1699, 'ambient_order': 1536, 'ambient_tex': 'C_8\\times C_{192}', 'central': True, 'central_factor': False, 'centralizer_order': 1536, 'characteristic': True, 'core_order': 64, 'counter': 28, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.1699.24.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '24.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{24}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '64.2', 'subgroup_hash': 2, 'subgroup_order': 64, 'subgroup_tex': 'C_8^2', 'supersolvable': True, 'sylow': 0}
-
id: 982805
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.1699', 'ambient_counter': 1699, 'ambient_order': 1536, 'ambient_tex': 'C_8\\times C_{192}', 'central': True, 'central_factor': False, 'centralizer_order': 1536, 'characteristic': True, 'core_order': 64, 'counter': 29, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.1699.24.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '24.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{24}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '64.26', 'subgroup_hash': 26, 'subgroup_order': 64, 'subgroup_tex': 'C_4\\times C_{16}', 'supersolvable': True, 'sylow': 0}
-
id: 982807
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.1699', 'ambient_counter': 1699, 'ambient_order': 1536, 'ambient_tex': 'C_8\\times C_{192}', 'central': True, 'central_factor': False, 'centralizer_order': 1536, 'characteristic': True, 'core_order': 64, 'counter': 30, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.1699.24.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '24.9', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 9, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '64.26', 'subgroup_hash': 26, 'subgroup_order': 64, 'subgroup_tex': 'C_4\\times C_{16}', 'supersolvable': True, 'sylow': 0}
-
id: 982808
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.1699', 'ambient_counter': 1699, 'ambient_order': 1536, 'ambient_tex': 'C_8\\times C_{192}', 'central': True, 'central_factor': False, 'centralizer_order': 1536, 'characteristic': False, 'core_order': 64, 'counter': 31, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.1699.24.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '24.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{24}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '64.50', 'subgroup_hash': 50, 'subgroup_order': 64, 'subgroup_tex': 'C_2\\times C_{32}', 'supersolvable': True, 'sylow': 0}
-
id: 982809
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.1699', 'ambient_counter': 1699, 'ambient_order': 1536, 'ambient_tex': 'C_8\\times C_{192}', 'central': True, 'central_factor': False, 'centralizer_order': 1536, 'characteristic': False, 'core_order': 64, 'counter': 32, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.1699.24.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '24.9', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 9, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '64.50', 'subgroup_hash': 50, 'subgroup_order': 64, 'subgroup_tex': 'C_2\\times C_{32}', 'supersolvable': True, 'sylow': 0}
-
id: 982810
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1536.1699', 'ambient_counter': 1699, 'ambient_order': 1536, 'ambient_tex': 'C_8\\times C_{192}', 'central': True, 'central_factor': False, 'centralizer_order': 1536, 'characteristic': False, 'core_order': 64, 'counter': 33, 'cyclic': True, 'direct': True, 'hall': 0, 'label': '1536.1699.24.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '24.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{24}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '64.1', 'subgroup_hash': 1, 'subgroup_order': 64, 'subgroup_tex': 'C_{64}', 'supersolvable': True, 'sylow': 0}
-
id: 982811
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.1699', 'ambient_counter': 1699, 'ambient_order': 1536, 'ambient_tex': 'C_8\\times C_{192}', 'central': True, 'central_factor': False, 'centralizer_order': 1536, 'characteristic': False, 'core_order': 48, 'counter': 34, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.1699.32.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{32}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '48.23', 'subgroup_hash': 23, 'subgroup_order': 48, 'subgroup_tex': 'C_2\\times C_{24}', 'supersolvable': True, 'sylow': 0}
-
id: 982812
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.1699', 'ambient_counter': 1699, 'ambient_order': 1536, 'ambient_tex': 'C_8\\times C_{192}', 'central': True, 'central_factor': False, 'centralizer_order': 1536, 'characteristic': True, 'core_order': 48, 'counter': 35, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.1699.32.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.16', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 16, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '48.20', 'subgroup_hash': 20, 'subgroup_order': 48, 'subgroup_tex': 'C_4\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 982813
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.1699', 'ambient_counter': 1699, 'ambient_order': 1536, 'ambient_tex': 'C_8\\times C_{192}', 'central': True, 'central_factor': False, 'centralizer_order': 1536, 'characteristic': True, 'core_order': 48, 'counter': 36, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.1699.32.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.16', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 16, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '48.23', 'subgroup_hash': 23, 'subgroup_order': 48, 'subgroup_tex': 'C_2\\times C_{24}', 'supersolvable': True, 'sylow': 0}
-
id: 982814
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.1699', 'ambient_counter': 1699, 'ambient_order': 1536, 'ambient_tex': 'C_8\\times C_{192}', 'central': True, 'central_factor': False, 'centralizer_order': 1536, 'characteristic': True, 'core_order': 48, 'counter': 37, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.1699.32.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.3', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times C_8', 'simple': False, 'solvable': True, 'special_labels': ['C5'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '48.23', 'subgroup_hash': 23, 'subgroup_order': 48, 'subgroup_tex': 'C_2\\times C_{24}', 'supersolvable': True, 'sylow': 0}
-
id: 982815
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1536.1699', 'ambient_counter': 1699, 'ambient_order': 1536, 'ambient_tex': 'C_8\\times C_{192}', 'central': True, 'central_factor': False, 'centralizer_order': 1536, 'characteristic': False, 'core_order': 48, 'counter': 38, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1536.1699.32.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{32}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '48.2', 'subgroup_hash': 2, 'subgroup_order': 48, 'subgroup_tex': 'C_{48}', 'supersolvable': True, 'sylow': 0}
-
id: 982816
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1536.1699', 'ambient_counter': 1699, 'ambient_order': 1536, 'ambient_tex': 'C_8\\times C_{192}', 'central': True, 'central_factor': False, 'centralizer_order': 1536, 'characteristic': False, 'core_order': 48, 'counter': 39, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1536.1699.32.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.16', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 16, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '48.2', 'subgroup_hash': 2, 'subgroup_order': 48, 'subgroup_tex': 'C_{48}', 'supersolvable': True, 'sylow': 0}
-
id: 982818
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1536.1699', 'ambient_counter': 1699, 'ambient_order': 1536, 'ambient_tex': 'C_8\\times C_{192}', 'central': True, 'central_factor': False, 'centralizer_order': 1536, 'characteristic': False, 'core_order': 48, 'counter': 40, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1536.1699.32.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.3', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times C_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '48.2', 'subgroup_hash': 2, 'subgroup_order': 48, 'subgroup_tex': 'C_{48}', 'supersolvable': True, 'sylow': 0}
-
id: 982819
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.1699', 'ambient_counter': 1699, 'ambient_order': 1536, 'ambient_tex': 'C_8\\times C_{192}', 'central': True, 'central_factor': False, 'centralizer_order': 1536, 'characteristic': False, 'core_order': 32, 'counter': 41, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.1699.48.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '48.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{48}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '32.3', 'subgroup_hash': 3, 'subgroup_order': 32, 'subgroup_tex': 'C_4\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 982820
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.1699', 'ambient_counter': 1699, 'ambient_order': 1536, 'ambient_tex': 'C_8\\times C_{192}', 'central': True, 'central_factor': False, 'centralizer_order': 1536, 'characteristic': True, 'core_order': 32, 'counter': 42, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.1699.48.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '48.23', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 23, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{24}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '32.3', 'subgroup_hash': 3, 'subgroup_order': 32, 'subgroup_tex': 'C_4\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 982821
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.1699', 'ambient_counter': 1699, 'ambient_order': 1536, 'ambient_tex': 'C_8\\times C_{192}', 'central': True, 'central_factor': False, 'centralizer_order': 1536, 'characteristic': False, 'core_order': 32, 'counter': 43, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.1699.48.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '48.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{48}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '32.16', 'subgroup_hash': 16, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times C_{16}', 'supersolvable': True, 'sylow': 0}
-
id: 982822
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.1699', 'ambient_counter': 1699, 'ambient_order': 1536, 'ambient_tex': 'C_8\\times C_{192}', 'central': True, 'central_factor': False, 'centralizer_order': 1536, 'characteristic': True, 'core_order': 32, 'counter': 44, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.1699.48.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '48.23', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 23, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{24}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '32.16', 'subgroup_hash': 16, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times C_{16}', 'supersolvable': True, 'sylow': 0}
-
id: 982823
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.1699', 'ambient_counter': 1699, 'ambient_order': 1536, 'ambient_tex': 'C_8\\times C_{192}', 'central': True, 'central_factor': False, 'centralizer_order': 1536, 'characteristic': True, 'core_order': 32, 'counter': 45, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.1699.48.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '48.20', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 20, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '32.16', 'subgroup_hash': 16, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times C_{16}', 'supersolvable': True, 'sylow': 0}
-
id: 982824
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1536.1699', 'ambient_counter': 1699, 'ambient_order': 1536, 'ambient_tex': 'C_8\\times C_{192}', 'central': True, 'central_factor': False, 'centralizer_order': 1536, 'characteristic': False, 'core_order': 32, 'counter': 46, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1536.1699.48.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '48.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{48}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '32.1', 'subgroup_hash': 1, 'subgroup_order': 32, 'subgroup_tex': 'C_{32}', 'supersolvable': True, 'sylow': 0}
-
id: 982825
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1536.1699', 'ambient_counter': 1699, 'ambient_order': 1536, 'ambient_tex': 'C_8\\times C_{192}', 'central': True, 'central_factor': False, 'centralizer_order': 1536, 'characteristic': False, 'core_order': 32, 'counter': 47, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1536.1699.48.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '48.23', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 23, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{24}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '32.1', 'subgroup_hash': 1, 'subgroup_order': 32, 'subgroup_tex': 'C_{32}', 'supersolvable': True, 'sylow': 0}
-
id: 982826
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1536.1699', 'ambient_counter': 1699, 'ambient_order': 1536, 'ambient_tex': 'C_8\\times C_{192}', 'central': True, 'central_factor': False, 'centralizer_order': 1536, 'characteristic': False, 'core_order': 24, 'counter': 48, 'cyclic': True, 'direct': True, 'hall': 0, 'label': '1536.1699.64.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{64}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '24.2', 'subgroup_hash': 2, 'subgroup_order': 24, 'subgroup_tex': 'C_{24}', 'supersolvable': True, 'sylow': 0}
-
id: 982827
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.1699', 'ambient_counter': 1699, 'ambient_order': 1536, 'ambient_tex': 'C_8\\times C_{192}', 'central': True, 'central_factor': False, 'centralizer_order': 1536, 'characteristic': False, 'core_order': 24, 'counter': 49, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.1699.64.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.50', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 50, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{32}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 982829
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.1699', 'ambient_counter': 1699, 'ambient_order': 1536, 'ambient_tex': 'C_8\\times C_{192}', 'central': True, 'central_factor': False, 'centralizer_order': 1536, 'characteristic': True, 'core_order': 24, 'counter': 50, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.1699.64.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.26', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 26, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times C_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
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id: 982830
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1536.1699', 'ambient_counter': 1699, 'ambient_order': 1536, 'ambient_tex': 'C_8\\times C_{192}', 'central': True, 'central_factor': False, 'centralizer_order': 1536, 'characteristic': False, 'core_order': 24, 'counter': 51, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1536.1699.64.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.50', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 50, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{32}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.2', 'subgroup_hash': 2, 'subgroup_order': 24, 'subgroup_tex': 'C_{24}', 'supersolvable': True, 'sylow': 0}
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id: 982831
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1536.1699', 'ambient_counter': 1699, 'ambient_order': 1536, 'ambient_tex': 'C_8\\times C_{192}', 'central': True, 'central_factor': False, 'centralizer_order': 1536, 'characteristic': True, 'core_order': 24, 'counter': 52, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1536.1699.64.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.26', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 26, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times C_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.2', 'subgroup_hash': 2, 'subgroup_order': 24, 'subgroup_tex': 'C_{24}', 'supersolvable': True, 'sylow': 0}
-
id: 982832
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1536.1699', 'ambient_counter': 1699, 'ambient_order': 1536, 'ambient_tex': 'C_8\\times C_{192}', 'central': True, 'central_factor': False, 'centralizer_order': 1536, 'characteristic': True, 'core_order': 24, 'counter': 53, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1536.1699.64.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_8^2', 'simple': False, 'solvable': True, 'special_labels': ['C6'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.2', 'subgroup_hash': 2, 'subgroup_order': 24, 'subgroup_tex': 'C_{24}', 'supersolvable': True, 'sylow': 0}
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id: 982833
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.1699', 'ambient_counter': 1699, 'ambient_order': 1536, 'ambient_tex': 'C_8\\times C_{192}', 'central': True, 'central_factor': False, 'centralizer_order': 1536, 'characteristic': False, 'core_order': 16, 'counter': 54, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.1699.96.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '96.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '96.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{96}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '16.5', 'subgroup_hash': 5, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times C_8', 'supersolvable': True, 'sylow': 0}
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id: 982834
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.1699', 'ambient_counter': 1699, 'ambient_order': 1536, 'ambient_tex': 'C_8\\times C_{192}', 'central': True, 'central_factor': False, 'centralizer_order': 1536, 'characteristic': True, 'core_order': 16, 'counter': 55, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.1699.96.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '96.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '96.59', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 59, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{48}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '16.2', 'subgroup_hash': 2, 'subgroup_order': 16, 'subgroup_tex': 'C_4^2', 'supersolvable': True, 'sylow': 0}
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id: 982835
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.1699', 'ambient_counter': 1699, 'ambient_order': 1536, 'ambient_tex': 'C_8\\times C_{192}', 'central': True, 'central_factor': False, 'centralizer_order': 1536, 'characteristic': True, 'core_order': 16, 'counter': 56, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.1699.96.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '96.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '96.59', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 59, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{48}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '16.5', 'subgroup_hash': 5, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times C_8', 'supersolvable': True, 'sylow': 0}
-
id: 982836
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.1699', 'ambient_counter': 1699, 'ambient_order': 1536, 'ambient_tex': 'C_8\\times C_{192}', 'central': True, 'central_factor': False, 'centralizer_order': 1536, 'characteristic': True, 'core_order': 16, 'counter': 57, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.1699.96.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '96.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '96.46', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 46, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times C_{24}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '16.5', 'subgroup_hash': 5, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times C_8', 'supersolvable': True, 'sylow': 0}
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id: 982837
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1536.1699', 'ambient_counter': 1699, 'ambient_order': 1536, 'ambient_tex': 'C_8\\times C_{192}', 'central': True, 'central_factor': False, 'centralizer_order': 1536, 'characteristic': False, 'core_order': 16, 'counter': 58, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1536.1699.96.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '96.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '96.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{96}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '16.1', 'subgroup_hash': 1, 'subgroup_order': 16, 'subgroup_tex': 'C_{16}', 'supersolvable': True, 'sylow': 0}
-
id: 982838
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1536.1699', 'ambient_counter': 1699, 'ambient_order': 1536, 'ambient_tex': 'C_8\\times C_{192}', 'central': True, 'central_factor': False, 'centralizer_order': 1536, 'characteristic': False, 'core_order': 16, 'counter': 59, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1536.1699.96.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '96.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '96.59', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 59, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{48}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '16.1', 'subgroup_hash': 1, 'subgroup_order': 16, 'subgroup_tex': 'C_{16}', 'supersolvable': True, 'sylow': 0}
-
id: 982840
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1536.1699', 'ambient_counter': 1699, 'ambient_order': 1536, 'ambient_tex': 'C_8\\times C_{192}', 'central': True, 'central_factor': False, 'centralizer_order': 1536, 'characteristic': False, 'core_order': 16, 'counter': 60, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1536.1699.96.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '96.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '96.46', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 46, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times C_{24}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '16.1', 'subgroup_hash': 1, 'subgroup_order': 16, 'subgroup_tex': 'C_{16}', 'supersolvable': True, 'sylow': 0}
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id: 982841
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1536.1699', 'ambient_counter': 1699, 'ambient_order': 1536, 'ambient_tex': 'C_8\\times C_{192}', 'central': True, 'central_factor': False, 'centralizer_order': 1536, 'characteristic': False, 'core_order': 12, 'counter': 61, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1536.1699.128.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '128.159', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 159, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{64}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '12.2', 'subgroup_hash': 2, 'subgroup_order': 12, 'subgroup_tex': 'C_{12}', 'supersolvable': True, 'sylow': 0}
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id: 982842
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.1699', 'ambient_counter': 1699, 'ambient_order': 1536, 'ambient_tex': 'C_8\\times C_{192}', 'central': True, 'central_factor': False, 'centralizer_order': 1536, 'characteristic': True, 'core_order': 12, 'counter': 62, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.1699.128.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '128.128', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 128, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times C_{32}', 'simple': False, 'solvable': True, 'special_labels': ['S'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
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id: 982843
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1536.1699', 'ambient_counter': 1699, 'ambient_order': 1536, 'ambient_tex': 'C_8\\times C_{192}', 'central': True, 'central_factor': False, 'centralizer_order': 1536, 'characteristic': True, 'core_order': 12, 'counter': 63, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1536.1699.128.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '128.128', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 128, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times C_{32}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '12.2', 'subgroup_hash': 2, 'subgroup_order': 12, 'subgroup_tex': 'C_{12}', 'supersolvable': True, 'sylow': 0}
-
id: 982844
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1536.1699', 'ambient_counter': 1699, 'ambient_order': 1536, 'ambient_tex': 'C_8\\times C_{192}', 'central': True, 'central_factor': False, 'centralizer_order': 1536, 'characteristic': True, 'core_order': 12, 'counter': 64, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1536.1699.128.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '128.42', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 42, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_8\\times C_{16}', 'simple': False, 'solvable': True, 'special_labels': ['C7'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '12.2', 'subgroup_hash': 2, 'subgroup_order': 12, 'subgroup_tex': 'C_{12}', 'supersolvable': True, 'sylow': 0}
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id: 982845
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1536.1699', 'ambient_counter': 1699, 'ambient_order': 1536, 'ambient_tex': 'C_8\\times C_{192}', 'central': True, 'central_factor': False, 'centralizer_order': 1536, 'characteristic': False, 'core_order': 8, 'counter': 65, 'cyclic': True, 'direct': True, 'hall': 0, 'label': '1536.1699.192.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '192.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '192.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 192, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{192}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '8.1', 'subgroup_hash': 1, 'subgroup_order': 8, 'subgroup_tex': 'C_8', 'supersolvable': True, 'sylow': 0}
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id: 982846
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.1699', 'ambient_counter': 1699, 'ambient_order': 1536, 'ambient_tex': 'C_8\\times C_{192}', 'central': True, 'central_factor': False, 'centralizer_order': 1536, 'characteristic': False, 'core_order': 8, 'counter': 66, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.1699.192.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '192.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '192.175', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 175, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 192, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{96}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
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id: 982847
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.1699', 'ambient_counter': 1699, 'ambient_order': 1536, 'ambient_tex': 'C_8\\times C_{192}', 'central': True, 'central_factor': False, 'centralizer_order': 1536, 'characteristic': True, 'core_order': 8, 'counter': 67, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.1699.192.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '192.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '192.151', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 151, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 192, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times C_{48}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
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id: 982848
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1536.1699', 'ambient_counter': 1699, 'ambient_order': 1536, 'ambient_tex': 'C_8\\times C_{192}', 'central': True, 'central_factor': False, 'centralizer_order': 1536, 'characteristic': False, 'core_order': 8, 'counter': 68, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1536.1699.192.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '192.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '192.175', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 175, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 192, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{96}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.1', 'subgroup_hash': 1, 'subgroup_order': 8, 'subgroup_tex': 'C_8', 'supersolvable': True, 'sylow': 0}
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id: 982849
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1536.1699', 'ambient_counter': 1699, 'ambient_order': 1536, 'ambient_tex': 'C_8\\times C_{192}', 'central': True, 'central_factor': False, 'centralizer_order': 1536, 'characteristic': True, 'core_order': 8, 'counter': 69, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1536.1699.192.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '192.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '192.151', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 151, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 192, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times C_{48}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.1', 'subgroup_hash': 1, 'subgroup_order': 8, 'subgroup_tex': 'C_8', 'supersolvable': True, 'sylow': 0}
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id: 982851
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1536.1699', 'ambient_counter': 1699, 'ambient_order': 1536, 'ambient_tex': 'C_8\\times C_{192}', 'central': True, 'central_factor': False, 'centralizer_order': 1536, 'characteristic': True, 'core_order': 8, 'counter': 70, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1536.1699.192.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '192.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '192.127', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 127, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 192, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_8\\times C_{24}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.1', 'subgroup_hash': 1, 'subgroup_order': 8, 'subgroup_tex': 'C_8', 'supersolvable': True, 'sylow': 0}
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id: 982852
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1536.1699', 'ambient_counter': 1699, 'ambient_order': 1536, 'ambient_tex': 'C_8\\times C_{192}', 'central': True, 'central_factor': False, 'centralizer_order': 1536, 'characteristic': False, 'core_order': 6, 'counter': 71, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1536.1699.256.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '256.497', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 497, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times C_{64}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
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id: 982853
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1536.1699', 'ambient_counter': 1699, 'ambient_order': 1536, 'ambient_tex': 'C_8\\times C_{192}', 'central': True, 'central_factor': False, 'centralizer_order': 1536, 'characteristic': True, 'core_order': 6, 'counter': 72, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1536.1699.256.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '256.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '256.316', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 316, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_8\\times C_{32}', 'simple': False, 'solvable': True, 'special_labels': ['C8'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
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id: 982854
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1536.1699', 'ambient_counter': 1699, 'ambient_order': 1536, 'ambient_tex': 'C_8\\times C_{192}', 'central': True, 'central_factor': False, 'centralizer_order': 1536, 'characteristic': False, 'core_order': 4, 'counter': 73, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1536.1699.384.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '384.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '384.563', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 563, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 384, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{192}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
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id: 982855
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1536.1699', 'ambient_counter': 1699, 'ambient_order': 1536, 'ambient_tex': 'C_8\\times C_{192}', 'central': True, 'central_factor': False, 'centralizer_order': 1536, 'characteristic': True, 'core_order': 4, 'counter': 74, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1536.1699.384.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '384.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '384.532', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 532, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 384, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times C_{96}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
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id: 982856
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1536.1699', 'ambient_counter': 1699, 'ambient_order': 1536, 'ambient_tex': 'C_8\\times C_{192}', 'central': True, 'central_factor': False, 'centralizer_order': 1536, 'characteristic': True, 'core_order': 4, 'counter': 75, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1536.1699.384.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '384.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '384.532', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 532, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 384, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times C_{96}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
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id: 982857
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1536.1699', 'ambient_counter': 1699, 'ambient_order': 1536, 'ambient_tex': 'C_8\\times C_{192}', 'central': True, 'central_factor': False, 'centralizer_order': 1536, 'characteristic': True, 'core_order': 4, 'counter': 76, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1536.1699.384.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '384.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '384.446', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 446, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 384, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_8\\times C_{48}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
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id: 982858
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1536.1699', 'ambient_counter': 1699, 'ambient_order': 1536, 'ambient_tex': 'C_8\\times C_{192}', 'central': True, 'central_factor': False, 'centralizer_order': 1536, 'characteristic': True, 'core_order': 3, 'counter': 77, 'cyclic': True, 'direct': True, 'hall': 3, 'label': '1536.1699.512.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '512.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '512.1699', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 1994011956017986, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_8\\times C_{64}', 'simple': True, 'solvable': True, 'special_labels': ['C9'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '3.1', 'subgroup_hash': 1, 'subgroup_order': 3, 'subgroup_tex': 'C_3', 'supersolvable': True, 'sylow': 3}
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id: 982859
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1536.1699', 'ambient_counter': 1699, 'ambient_order': 1536, 'ambient_tex': 'C_8\\times C_{192}', 'central': True, 'central_factor': False, 'centralizer_order': 1536, 'characteristic': False, 'core_order': 2, 'counter': 78, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1536.1699.768.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '768.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '768.497', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 497, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 768, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times C_{192}', 'simple': True, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
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id: 982860
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1536.1699', 'ambient_counter': 1699, 'ambient_order': 1536, 'ambient_tex': 'C_8\\times C_{192}', 'central': True, 'central_factor': False, 'centralizer_order': 1536, 'characteristic': True, 'core_order': 2, 'counter': 79, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1536.1699.768.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '768.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '768.316', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 316, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 768, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_8\\times C_{96}', 'simple': True, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
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id: 982862
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1536.1699', 'ambient_counter': 1699, 'ambient_order': 1536, 'ambient_tex': 'C_8\\times C_{192}', 'central': True, 'central_factor': False, 'centralizer_order': 1536, 'characteristic': True, 'core_order': 1, 'counter': 80, 'cyclic': True, 'direct': True, 'hall': 1, 'label': '1536.1699.1536.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1536.a1', 'outer_equivalence': True, 'perfect': True, 'proper': False, 'quotient': '1536.1699', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 1994011956018114, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 1536, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_8\\times C_{192}', 'simple': False, 'solvable': True, 'special_labels': ['D', 'PC', 'U1', 'L1', 'D1', 'C10'], 'split': True, 'standard_generators': False, 'stem': True, 'subgroup': '1.1', 'subgroup_hash': 1, 'subgroup_order': 1, 'subgroup_tex': 'C_1', 'supersolvable': True, 'sylow': 1}
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gps_subgroup_data • Show schema
Hide schema
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id: 982784
{'ambient': '1536.1699', 'aut_centralizer_order': None, 'aut_label': '1.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': ['1536.a1'], 'conjugacy_class_count': 1, 'contained_in': [], 'contains': ['2.a1', '2.b1', '3.a1'], 'core': '1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8857, 8857, 7503, 7503], 'generators': [1, 384, 48, 4, 768, 24, 2, 192, 96, 512], 'label': '1536.1699.1.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '1.a1', 'normal_contained_in': [], 'normal_contains': ['2.a1', '2.b1', '3.a1'], 'normalizer': '1.a1', 'old_label': '1.a1', 'projective_image': '1.1', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 982785
{'ambient': '1536.1699', 'aut_centralizer_order': 8, 'aut_label': '6.b1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': None, 'aut_weyl_index': 16, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['2.b1', '3.a1'], 'contains': ['12.c1', '12.d1'], 'core': '6.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [9772, 9772, 8332, 8332], 'generators': [1033, 48], 'label': '1536.1699.6.b1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '6.b1', 'normal_contained_in': ['2.b1', '3.a1'], 'normal_contains': ['12.c1', '12.d1'], 'normalizer': '1.a1', 'old_label': '6.b1', 'projective_image': '6.2', 'quotient_action_image': '1.1', 'quotient_action_kernel': '6.2', 'quotient_action_kernel_order': 6, 'quotient_fusion': None, 'short_label': '6.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 982837
{'ambient': '1536.1699', 'aut_centralizer_order': 512, 'aut_label': '96.e1', 'aut_quo_index': 1, 'aut_stab_index': 4, 'aut_weyl_group': '8.2', 'aut_weyl_index': 2048, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 4, 'contained_in': ['32.e1', '48.c1'], 'contains': ['192.d1'], 'core': '96.e1', 'coset_action_label': None, 'count': 4, 'diagramx': [4373, 4373, 4577, 4577], 'generators': [97], 'label': '1536.1699.96.e1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '96.e1', 'normal_contained_in': ['32.e1', '48.c1'], 'normal_contains': ['192.d1'], 'normalizer': '1.a1', 'old_label': '96.e1', 'projective_image': '96.2', 'quotient_action_image': '1.1', 'quotient_action_kernel': '96.2', 'quotient_action_kernel_order': 96, 'quotient_fusion': None, 'short_label': '96.e1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 982786
{'ambient': '1536.1699', 'aut_centralizer_order': 64, 'aut_label': '8.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '256.56069', 'aut_weyl_index': 64, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1'], 'contains': ['16.a1', '16.b1', '24.a1'], 'core': '8.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2774, 2774, 2401, 2401], 'generators': [1, 4, 384, 192, 768, 512, 2], 'label': '1536.1699.8.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.a1', 'normal_contained_in': ['4.a1'], 'normal_contains': ['16.a1', '16.b1', '24.a1'], 'normalizer': '1.a1', 'old_label': '8.a1', 'projective_image': '8.1', 'quotient_action_image': '1.1', 'quotient_action_kernel': '8.1', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '8.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 982787
{'ambient': '1536.1699', 'aut_centralizer_order': 64, 'aut_label': '8.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '256.56071', 'aut_weyl_index': 64, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1'], 'contains': ['16.b1', '16.c1', '24.b1'], 'core': '8.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [4407, 4407, 3506, 3506], 'generators': [97, 388, 384, 192, 768, 512, 194], 'label': '1536.1699.8.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.b1', 'normal_contained_in': ['4.a1'], 'normal_contains': ['16.b1', '16.c1', '24.b1'], 'normalizer': '1.a1', 'old_label': '8.b1', 'projective_image': '8.1', 'quotient_action_image': '1.1', 'quotient_action_kernel': '8.1', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '8.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 982788
{'ambient': '1536.1699', 'aut_centralizer_order': 64, 'aut_label': '8.c1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '256.55647', 'aut_weyl_index': 64, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1', '4.b1', '4.c1'], 'contains': ['16.b1', '16.d1', '16.e1', '24.c1'], 'core': '8.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [6591, 6591, 5919, 5919], 'generators': [2, 384, 192, 96, 768, 512, 4], 'label': '1536.1699.8.c1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.c1', 'normal_contained_in': ['4.a1', '4.b1', '4.c1'], 'normal_contains': ['16.b1', '16.d1', '16.e1', '24.c1'], 'normalizer': '1.a1', 'old_label': '8.c1', 'projective_image': '8.2', 'quotient_action_image': '1.1', 'quotient_action_kernel': '8.2', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '8.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 982789
{'ambient': '1536.1699', 'aut_centralizer_order': 64, 'aut_label': '8.d1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '128.2303', 'aut_weyl_index': 128, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['4.b1'], 'contains': ['16.d1', '16.f1', '24.d1'], 'core': '8.d1', 'coset_action_label': None, 'count': 2, 'diagramx': [5801, 5801, 5115, 5115], 'generators': [49, 384, 196, 192, 768, 512, 98], 'label': '1536.1699.8.d1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.d1', 'normal_contained_in': ['4.b1'], 'normal_contains': ['16.d1', '16.f1', '24.d1'], 'normalizer': '1.a1', 'old_label': '8.d1', 'projective_image': '8.1', 'quotient_action_image': '1.1', 'quotient_action_kernel': '8.1', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '8.d1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 982790
{'ambient': '1536.1699', 'aut_centralizer_order': 64, 'aut_label': '8.e1', 'aut_quo_index': 2, 'aut_stab_index': 2, 'aut_weyl_group': '128.2303', 'aut_weyl_index': 128, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['4.c1', '4.d1'], 'contains': ['16.e1', '16.g1', '24.e1'], 'core': '8.e1', 'coset_action_label': None, 'count': 2, 'diagramx': [7752, 7752, 8347, 8347], 'generators': [50, 384, 192, 96, 768, 512, 100], 'label': '1536.1699.8.e1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.e1', 'normal_contained_in': ['4.c1', '4.d1'], 'normal_contains': ['16.e1', '16.g1', '24.e1'], 'normalizer': '1.a1', 'old_label': '8.e1', 'projective_image': '8.2', 'quotient_action_image': '1.1', 'quotient_action_kernel': '8.2', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '8.e1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 982791
{'ambient': '1536.1699', 'aut_centralizer_order': 32, 'aut_label': '8.f1', 'aut_quo_index': 1, 'aut_stab_index': 8, 'aut_weyl_group': '64.183', 'aut_weyl_index': 256, 'centralizer': '1.a1', 'complements': ['192.a1'], 'conjugacy_class_count': 8, 'contained_in': ['4.d1'], 'contains': ['16.g1', '24.f1'], 'core': '8.f1', 'coset_action_label': None, 'count': 8, 'diagramx': [8769, 8769, 9793, 9793], 'generators': [27, 384, 192, 512, 768, 54, 100], 'label': '1536.1699.8.f1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.f1', 'normal_contained_in': ['4.d1'], 'normal_contains': ['16.g1', '24.f1'], 'normalizer': '1.a1', 'old_label': '8.f1', 'projective_image': '8.1', 'quotient_action_image': '1.1', 'quotient_action_kernel': '8.1', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '8.f1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 982792
{'ambient': '1536.1699', 'aut_centralizer_order': 32, 'aut_label': '12.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '512.10482284', 'aut_weyl_index': 32, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1', '6.a1'], 'contains': ['24.a1', '24.b1', '24.c1'], 'core': '12.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4988, 4988, 4310, 4310], 'generators': [1, 96], 'label': '1536.1699.12.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '12.a1', 'normal_contained_in': ['4.a1', '6.a1'], 'normal_contains': ['24.a1', '24.b1', '24.c1'], 'normalizer': '1.a1', 'old_label': '12.a1', 'projective_image': '12.2', 'quotient_action_image': '1.1', 'quotient_action_kernel': '12.2', 'quotient_action_kernel_order': 12, 'quotient_fusion': None, 'short_label': '12.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 982793
{'ambient': '1536.1699', 'aut_centralizer_order': 32, 'aut_label': '12.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '512.6339775', 'aut_weyl_index': 32, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.b1', '6.a1'], 'contains': ['24.c1', '24.d1'], 'core': '12.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [7263, 7263, 6724, 6724], 'generators': [49, 96], 'label': '1536.1699.12.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '12.b1', 'normal_contained_in': ['4.b1', '6.a1'], 'normal_contains': ['24.c1', '24.d1'], 'normalizer': '1.a1', 'old_label': '12.b1', 'projective_image': '12.2', 'quotient_action_image': '1.1', 'quotient_action_kernel': '12.2', 'quotient_action_kernel_order': 12, 'quotient_fusion': None, 'short_label': '12.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 982794
{'ambient': '1536.1699', 'aut_centralizer_order': 32, 'aut_label': '12.c1', 'aut_quo_index': 3, 'aut_stab_index': 1, 'aut_weyl_group': '512.6339775', 'aut_weyl_index': 32, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.c1', '6.a1', '6.b1'], 'contains': ['24.c1', '24.e1'], 'core': '12.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [8794, 8794, 7528, 7528], 'generators': [2, 48], 'label': '1536.1699.12.c1', 'mobius_quo': 0, 'mobius_sub': -2, 'normal_closure': '12.c1', 'normal_contained_in': ['4.c1', '6.a1', '6.b1'], 'normal_contains': ['24.c1', '24.e1'], 'normalizer': '1.a1', 'old_label': '12.c1', 'projective_image': '12.5', 'quotient_action_image': '1.1', 'quotient_action_kernel': '12.5', 'quotient_action_kernel_order': 12, 'quotient_fusion': None, 'short_label': '12.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 982795
{'ambient': '1536.1699', 'aut_centralizer_order': 4, 'aut_label': '2.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': None, 'aut_weyl_index': 4, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['1.a1'], 'contains': ['4.a1', '4.b1', '4.c1', '6.a1'], 'core': '2.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7676, 7676, 6699, 6699], 'generators': [1, 768, 96, 4, 48, 2, 384, 192, 512], 'label': '1536.1699.2.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.a1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['4.a1', '4.b1', '4.c1', '6.a1'], 'normalizer': '1.a1', 'old_label': '2.a1', 'projective_image': '2.1', 'quotient_action_image': '1.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '2.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 982796
{'ambient': '1536.1699', 'aut_centralizer_order': 32, 'aut_label': '12.d1', 'aut_quo_index': 1, 'aut_stab_index': 4, 'aut_weyl_group': '128.2138', 'aut_weyl_index': 128, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 4, 'contained_in': ['4.d1', '6.b1'], 'contains': ['24.e1', '24.f1'], 'core': '12.d1', 'coset_action_label': None, 'count': 4, 'diagramx': [9772, 9772, 9151, 9151], 'generators': [1033, 96], 'label': '1536.1699.12.d1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '12.d1', 'normal_contained_in': ['4.d1', '6.b1'], 'normal_contains': ['24.e1', '24.f1'], 'normalizer': '1.a1', 'old_label': '12.d1', 'projective_image': '12.2', 'quotient_action_image': '1.1', 'quotient_action_kernel': '12.2', 'quotient_action_kernel_order': 12, 'quotient_fusion': None, 'short_label': '12.d1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 982797
{'ambient': '1536.1699', 'aut_centralizer_order': 128, 'aut_label': '16.a1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '64.261', 'aut_weyl_index': 256, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['8.a1'], 'contains': ['32.a1', '32.b1', '48.a1'], 'core': '16.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [1433, 1433, 1325, 1325], 'generators': [1, 4, 768, 384, 512, 2], 'label': '1536.1699.16.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': ['8.a1'], 'normal_contains': ['32.a1', '32.b1', '48.a1'], 'normalizer': '1.a1', 'old_label': '16.a1', 'projective_image': '16.1', 'quotient_action_image': '1.1', 'quotient_action_kernel': '16.1', 'quotient_action_kernel_order': 16, 'quotient_fusion': None, 'short_label': '16.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 982798
{'ambient': '1536.1699', 'aut_centralizer_order': 256, 'aut_label': '16.b1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '64.261', 'aut_weyl_index': 256, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1', '8.b1', '8.c1'], 'contains': ['32.b1', '32.c1', '32.d1', '48.b1'], 'core': '16.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [3171, 3171, 2702, 2702], 'generators': [2, 768, 384, 192, 512, 4], 'label': '1536.1699.16.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '16.b1', 'normal_contained_in': ['8.a1', '8.b1', '8.c1'], 'normal_contains': ['32.b1', '32.c1', '32.d1', '48.b1'], 'normalizer': '1.a1', 'old_label': '16.b1', 'projective_image': '16.5', 'quotient_action_image': '1.1', 'quotient_action_kernel': '16.5', 'quotient_action_kernel_order': 16, 'quotient_fusion': None, 'short_label': '16.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 982799
{'ambient': '1536.1699', 'aut_centralizer_order': 128, 'aut_label': '16.c1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '64.263', 'aut_weyl_index': 256, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['8.b1'], 'contains': ['32.c1', '32.e1', '48.c1'], 'core': '16.c1', 'coset_action_label': None, 'count': 2, 'diagramx': [3961, 3961, 3506, 3506], 'generators': [97, 768, 388, 384, 512, 194], 'label': '1536.1699.16.c1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '16.c1', 'normal_contained_in': ['8.b1'], 'normal_contains': ['32.c1', '32.e1', '48.c1'], 'normalizer': '1.a1', 'old_label': '16.c1', 'projective_image': '16.1', 'quotient_action_image': '1.1', 'quotient_action_kernel': '16.1', 'quotient_action_kernel_order': 16, 'quotient_fusion': None, 'short_label': '16.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 982800
{'ambient': '1536.1699', 'aut_centralizer_order': 256, 'aut_label': '16.d1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '64.263', 'aut_weyl_index': 256, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.c1', '8.d1'], 'contains': ['32.d1', '32.f1', '48.d1'], 'core': '16.d1', 'coset_action_label': None, 'count': 1, 'diagramx': [5797, 5797, 5554, 5554], 'generators': [98, 768, 384, 192, 512, 196], 'label': '1536.1699.16.d1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '16.d1', 'normal_contained_in': ['8.c1', '8.d1'], 'normal_contains': ['32.d1', '32.f1', '48.d1'], 'normalizer': '1.a1', 'old_label': '16.d1', 'projective_image': '16.5', 'quotient_action_image': '1.1', 'quotient_action_kernel': '16.5', 'quotient_action_kernel_order': 16, 'quotient_fusion': None, 'short_label': '16.d1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 982801
{'ambient': '1536.1699', 'aut_centralizer_order': 256, 'aut_label': '16.e1', 'aut_quo_index': 6, 'aut_stab_index': 1, 'aut_weyl_group': '64.263', 'aut_weyl_index': 256, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.c1', '8.e1'], 'contains': ['32.d1', '32.g1', '48.e1'], 'core': '16.e1', 'coset_action_label': None, 'count': 1, 'diagramx': [6958, 6958, 7967, 7967], 'generators': [4, 768, 384, 96, 512, 192], 'label': '1536.1699.16.e1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '16.e1', 'normal_contained_in': ['8.c1', '8.e1'], 'normal_contains': ['32.d1', '32.g1', '48.e1'], 'normalizer': '1.a1', 'old_label': '16.e1', 'projective_image': '16.2', 'quotient_action_image': '1.1', 'quotient_action_kernel': '16.2', 'quotient_action_kernel_order': 16, 'quotient_fusion': None, 'short_label': '16.e1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 982802
{'ambient': '1536.1699', 'aut_centralizer_order': 128, 'aut_label': '16.f1', 'aut_quo_index': 1, 'aut_stab_index': 4, 'aut_weyl_group': '32.36', 'aut_weyl_index': 512, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 4, 'contained_in': ['8.d1'], 'contains': ['32.f1', '48.f1'], 'core': '16.f1', 'coset_action_label': None, 'count': 4, 'diagramx': [5187, 5187, 4932, 4932], 'generators': [49, 768, 384, 512, 98, 196], 'label': '1536.1699.16.f1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '16.f1', 'normal_contained_in': ['8.d1'], 'normal_contains': ['32.f1', '48.f1'], 'normalizer': '1.a1', 'old_label': '16.f1', 'projective_image': '16.1', 'quotient_action_image': '1.1', 'quotient_action_kernel': '16.1', 'quotient_action_kernel_order': 16, 'quotient_fusion': None, 'short_label': '16.f1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 982803
{'ambient': '1536.1699', 'aut_centralizer_order': 128, 'aut_label': '16.g1', 'aut_quo_index': 2, 'aut_stab_index': 4, 'aut_weyl_group': '32.36', 'aut_weyl_index': 512, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 4, 'contained_in': ['8.e1', '8.f1'], 'contains': ['32.g1', '48.g1'], 'core': '16.g1', 'coset_action_label': None, 'count': 4, 'diagramx': [8120, 8120, 9393, 9393], 'generators': [50, 768, 384, 512, 100, 192], 'label': '1536.1699.16.g1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '16.g1', 'normal_contained_in': ['8.e1', '8.f1'], 'normal_contains': ['32.g1', '48.g1'], 'normalizer': '1.a1', 'old_label': '16.g1', 'projective_image': '16.5', 'quotient_action_image': '1.1', 'quotient_action_kernel': '16.5', 'quotient_action_kernel_order': 16, 'quotient_fusion': None, 'short_label': '16.g1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 982804
{'ambient': '1536.1699', 'aut_centralizer_order': 128, 'aut_label': '24.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '128.2310', 'aut_weyl_index': 128, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1', '12.a1'], 'contains': ['48.a1', '48.b1'], 'core': '24.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2499, 2499, 2095, 2095], 'generators': [1, 192], 'label': '1536.1699.24.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '24.a1', 'normal_contained_in': ['8.a1', '12.a1'], 'normal_contains': ['48.a1', '48.b1'], 'normalizer': '1.a1', 'old_label': '24.a1', 'projective_image': '24.2', 'quotient_action_image': '1.1', 'quotient_action_kernel': '24.2', 'quotient_action_kernel_order': 24, 'quotient_fusion': None, 'short_label': '24.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 982805
{'ambient': '1536.1699', 'aut_centralizer_order': 128, 'aut_label': '24.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '128.2312', 'aut_weyl_index': 128, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.b1', '12.a1'], 'contains': ['48.b1', '48.c1'], 'core': '24.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [4450, 4450, 4310, 4310], 'generators': [97, 192], 'label': '1536.1699.24.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '24.b1', 'normal_contained_in': ['8.b1', '12.a1'], 'normal_contains': ['48.b1', '48.c1'], 'normalizer': '1.a1', 'old_label': '24.b1', 'projective_image': '24.2', 'quotient_action_image': '1.1', 'quotient_action_kernel': '24.2', 'quotient_action_kernel_order': 24, 'quotient_fusion': None, 'short_label': '24.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 982806
{'ambient': '1536.1699', 'aut_centralizer_order': 4, 'aut_label': '2.b1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': None, 'aut_weyl_index': 8, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['1.a1'], 'contains': ['4.c1', '4.d1', '6.b1'], 'core': '2.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [8857, 8857, 8332, 8332], 'generators': [27, 768, 96, 100, 48, 54, 384, 192, 512], 'label': '1536.1699.2.b1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.b1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['4.c1', '4.d1', '6.b1'], 'normalizer': '1.a1', 'old_label': '2.b1', 'projective_image': '2.1', 'quotient_action_image': '1.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '2.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 982807
{'ambient': '1536.1699', 'aut_centralizer_order': 128, 'aut_label': '24.c1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '128.2167', 'aut_weyl_index': 128, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.c1', '12.a1', '12.b1', '12.c1'], 'contains': ['48.b1', '48.d1', '48.e1'], 'core': '24.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [7631, 7631, 7163, 7163], 'generators': [2, 96], 'label': '1536.1699.24.c1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '24.c1', 'normal_contained_in': ['8.c1', '12.a1', '12.b1', '12.c1'], 'normal_contains': ['48.b1', '48.d1', '48.e1'], 'normalizer': '1.a1', 'old_label': '24.c1', 'projective_image': '24.9', 'quotient_action_image': '1.1', 'quotient_action_kernel': '24.9', 'quotient_action_kernel_order': 24, 'quotient_fusion': None, 'short_label': '24.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 982808
{'ambient': '1536.1699', 'aut_centralizer_order': 128, 'aut_label': '24.d1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '64.248', 'aut_weyl_index': 256, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['8.d1', '12.b1'], 'contains': ['48.d1', '48.f1'], 'core': '24.d1', 'coset_action_label': None, 'count': 2, 'diagramx': [6469, 6469, 6358, 6358], 'generators': [49, 192], 'label': '1536.1699.24.d1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '24.d1', 'normal_contained_in': ['8.d1', '12.b1'], 'normal_contains': ['48.d1', '48.f1'], 'normalizer': '1.a1', 'old_label': '24.d1', 'projective_image': '24.2', 'quotient_action_image': '1.1', 'quotient_action_kernel': '24.2', 'quotient_action_kernel_order': 24, 'quotient_fusion': None, 'short_label': '24.d1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 982809
{'ambient': '1536.1699', 'aut_centralizer_order': 128, 'aut_label': '24.e1', 'aut_quo_index': 2, 'aut_stab_index': 2, 'aut_weyl_group': '64.248', 'aut_weyl_index': 256, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['8.e1', '12.c1', '12.d1'], 'contains': ['48.e1', '48.g1'], 'core': '24.e1', 'coset_action_label': None, 'count': 2, 'diagramx': [8794, 8794, 8771, 8771], 'generators': [50, 96], 'label': '1536.1699.24.e1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '24.e1', 'normal_contained_in': ['8.e1', '12.c1', '12.d1'], 'normal_contains': ['48.e1', '48.g1'], 'normalizer': '1.a1', 'old_label': '24.e1', 'projective_image': '24.9', 'quotient_action_image': '1.1', 'quotient_action_kernel': '24.9', 'quotient_action_kernel_order': 24, 'quotient_fusion': None, 'short_label': '24.e1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 982810
{'ambient': '1536.1699', 'aut_centralizer_order': 64, 'aut_label': '24.f1', 'aut_quo_index': 1, 'aut_stab_index': 8, 'aut_weyl_group': '32.16', 'aut_weyl_index': 512, 'centralizer': '1.a1', 'complements': ['64.a1'], 'conjugacy_class_count': 8, 'contained_in': ['8.f1', '12.d1'], 'contains': ['48.g1'], 'core': '24.f1', 'coset_action_label': None, 'count': 8, 'diagramx': [9404, 9404, 9827, 9827], 'generators': [1033], 'label': '1536.1699.24.f1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '24.f1', 'normal_contained_in': ['8.f1', '12.d1'], 'normal_contains': ['48.g1'], 'normalizer': '1.a1', 'old_label': '24.f1', 'projective_image': '24.2', 'quotient_action_image': '1.1', 'quotient_action_kernel': '24.2', 'quotient_action_kernel_order': 24, 'quotient_fusion': None, 'short_label': '24.f1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 982811
{'ambient': '1536.1699', 'aut_centralizer_order': 256, 'aut_label': '32.a1', 'aut_quo_index': 1, 'aut_stab_index': 4, 'aut_weyl_group': '16.14', 'aut_weyl_index': 1024, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 4, 'contained_in': ['16.a1'], 'contains': ['64.a1', '64.b1', '96.a1'], 'core': '32.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [600, 600, 358, 358], 'generators': [1, 4, 768, 512, 2], 'label': '1536.1699.32.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '32.a1', 'normal_contained_in': ['16.a1'], 'normal_contains': ['64.a1', '64.b1', '96.a1'], 'normalizer': '1.a1', 'old_label': '32.a1', 'projective_image': '32.1', 'quotient_action_image': '1.1', 'quotient_action_kernel': '32.1', 'quotient_action_kernel_order': 32, 'quotient_fusion': None, 'short_label': '32.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 982812
{'ambient': '1536.1699', 'aut_centralizer_order': 512, 'aut_label': '32.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '32.46', 'aut_weyl_index': 512, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.a1', '16.b1'], 'contains': ['64.b1', '64.c1', '96.b1'], 'core': '32.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [1889, 1889, 1838, 1838], 'generators': [2, 768, 384, 512, 4], 'label': '1536.1699.32.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '32.b1', 'normal_contained_in': ['16.a1', '16.b1'], 'normal_contains': ['64.b1', '64.c1', '96.b1'], 'normalizer': '1.a1', 'old_label': '32.b1', 'projective_image': '32.16', 'quotient_action_image': '1.1', 'quotient_action_kernel': '32.16', 'quotient_action_kernel_order': 32, 'quotient_fusion': None, 'short_label': '32.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 982813
{'ambient': '1536.1699', 'aut_centralizer_order': 512, 'aut_label': '32.c1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '32.46', 'aut_weyl_index': 512, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.b1', '16.c1'], 'contains': ['64.c1', '64.d1', '96.c1'], 'core': '32.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [2678, 2678, 2642, 2642], 'generators': [194, 768, 384, 512, 388], 'label': '1536.1699.32.c1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '32.c1', 'normal_contained_in': ['16.b1', '16.c1'], 'normal_contains': ['64.c1', '64.d1', '96.c1'], 'normalizer': '1.a1', 'old_label': '32.c1', 'projective_image': '32.16', 'quotient_action_image': '1.1', 'quotient_action_kernel': '32.16', 'quotient_action_kernel_order': 32, 'quotient_fusion': None, 'short_label': '32.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 982814
{'ambient': '1536.1699', 'aut_centralizer_order': 1024, 'aut_label': '32.d1', 'aut_quo_index': 4, 'aut_stab_index': 1, 'aut_weyl_group': '16.14', 'aut_weyl_index': 1024, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.b1', '16.d1', '16.e1'], 'contains': ['64.c1', '64.e1', '64.f1', '96.d1'], 'core': '32.d1', 'coset_action_label': None, 'count': 1, 'diagramx': [4818, 4818, 5800, 5800], 'generators': [4, 768, 192, 512, 384], 'label': '1536.1699.32.d1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '32.d1', 'normal_contained_in': ['16.b1', '16.d1', '16.e1'], 'normal_contains': ['64.c1', '64.e1', '64.f1', '96.d1'], 'normalizer': '1.a1', 'old_label': '32.d1', 'projective_image': '32.3', 'quotient_action_image': '1.1', 'quotient_action_kernel': '32.3', 'quotient_action_kernel_order': 32, 'quotient_fusion': None, 'short_label': '32.d1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 982815
{'ambient': '1536.1699', 'aut_centralizer_order': 256, 'aut_label': '32.e1', 'aut_quo_index': 1, 'aut_stab_index': 4, 'aut_weyl_group': '16.10', 'aut_weyl_index': 1024, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 4, 'contained_in': ['16.c1'], 'contains': ['64.d1', '96.e1'], 'core': '32.e1', 'coset_action_label': None, 'count': 4, 'diagramx': [3656, 3656, 3935, 3935], 'generators': [97, 768, 512, 194, 388], 'label': '1536.1699.32.e1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '32.e1', 'normal_contained_in': ['16.c1'], 'normal_contains': ['64.d1', '96.e1'], 'normalizer': '1.a1', 'old_label': '32.e1', 'projective_image': '32.1', 'quotient_action_image': '1.1', 'quotient_action_kernel': '32.1', 'quotient_action_kernel_order': 32, 'quotient_fusion': None, 'short_label': '32.e1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 982816
{'ambient': '1536.1699', 'aut_centralizer_order': 512, 'aut_label': '32.f1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '16.10', 'aut_weyl_index': 1024, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['16.d1', '16.f1'], 'contains': ['64.e1', '96.f1'], 'core': '32.f1', 'coset_action_label': None, 'count': 2, 'diagramx': [5428, 5428, 5179, 5179], 'generators': [98, 768, 512, 196, 384], 'label': '1536.1699.32.f1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '32.f1', 'normal_contained_in': ['16.d1', '16.f1'], 'normal_contains': ['64.e1', '96.f1'], 'normalizer': '1.a1', 'old_label': '32.f1', 'projective_image': '32.16', 'quotient_action_image': '1.1', 'quotient_action_kernel': '32.16', 'quotient_action_kernel_order': 32, 'quotient_fusion': None, 'short_label': '32.f1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 982817
{'ambient': '1536.1699', 'aut_centralizer_order': 2, 'aut_label': '3.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': None, 'aut_weyl_index': 2, 'centralizer': '1.a1', 'complements': ['512.a1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1'], 'contains': ['6.a1', '6.b1'], 'core': '3.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [9830, 9830, 7503, 7503], 'generators': [1, 1032], 'label': '1536.1699.3.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '3.a1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['6.a1', '6.b1'], 'normalizer': '1.a1', 'old_label': '3.a1', 'projective_image': '3.1', 'quotient_action_image': '1.1', 'quotient_action_kernel': '3.1', 'quotient_action_kernel_order': 3, 'quotient_fusion': None, 'short_label': '3.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 982818
{'ambient': '1536.1699', 'aut_centralizer_order': 512, 'aut_label': '32.g1', 'aut_quo_index': 4, 'aut_stab_index': 2, 'aut_weyl_group': '16.10', 'aut_weyl_index': 1024, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['16.e1', '16.g1'], 'contains': ['64.f1', '96.g1'], 'core': '32.g1', 'coset_action_label': None, 'count': 2, 'diagramx': [6958, 6958, 8470, 8470], 'generators': [100, 768, 512, 192, 384], 'label': '1536.1699.32.g1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '32.g1', 'normal_contained_in': ['16.e1', '16.g1'], 'normal_contains': ['64.f1', '96.g1'], 'normalizer': '1.a1', 'old_label': '32.g1', 'projective_image': '32.3', 'quotient_action_image': '1.1', 'quotient_action_kernel': '32.3', 'quotient_action_kernel_order': 32, 'quotient_fusion': None, 'short_label': '32.g1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 982819
{'ambient': '1536.1699', 'aut_centralizer_order': 256, 'aut_label': '48.a1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '32.46', 'aut_weyl_index': 512, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['16.a1', '24.a1'], 'contains': ['96.a1', '96.b1'], 'core': '48.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [1216, 1216, 1098, 1098], 'generators': [1, 384], 'label': '1536.1699.48.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '48.a1', 'normal_contained_in': ['16.a1', '24.a1'], 'normal_contains': ['96.a1', '96.b1'], 'normalizer': '1.a1', 'old_label': '48.a1', 'projective_image': '48.2', 'quotient_action_image': '1.1', 'quotient_action_kernel': '48.2', 'quotient_action_kernel_order': 48, 'quotient_fusion': None, 'short_label': '48.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 982820
{'ambient': '1536.1699', 'aut_centralizer_order': 512, 'aut_label': '48.b1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '32.46', 'aut_weyl_index': 512, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.b1', '24.a1', '24.b1', '24.c1'], 'contains': ['96.b1', '96.c1', '96.d1'], 'core': '48.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [3419, 3419, 3383, 3383], 'generators': [2, 192], 'label': '1536.1699.48.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '48.b1', 'normal_contained_in': ['16.b1', '24.a1', '24.b1', '24.c1'], 'normal_contains': ['96.b1', '96.c1', '96.d1'], 'normalizer': '1.a1', 'old_label': '48.b1', 'projective_image': '48.23', 'quotient_action_image': '1.1', 'quotient_action_kernel': '48.23', 'quotient_action_kernel_order': 48, 'quotient_fusion': None, 'short_label': '48.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 982821
{'ambient': '1536.1699', 'aut_centralizer_order': 256, 'aut_label': '48.c1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '32.48', 'aut_weyl_index': 512, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['16.c1', '24.b1'], 'contains': ['96.c1', '96.e1'], 'core': '48.c1', 'coset_action_label': None, 'count': 2, 'diagramx': [4329, 4329, 4557, 4557], 'generators': [97, 384], 'label': '1536.1699.48.c1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '48.c1', 'normal_contained_in': ['16.c1', '24.b1'], 'normal_contains': ['96.c1', '96.e1'], 'normalizer': '1.a1', 'old_label': '48.c1', 'projective_image': '48.2', 'quotient_action_image': '1.1', 'quotient_action_kernel': '48.2', 'quotient_action_kernel_order': 48, 'quotient_fusion': None, 'short_label': '48.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 982822
{'ambient': '1536.1699', 'aut_centralizer_order': 512, 'aut_label': '48.d1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '32.48', 'aut_weyl_index': 512, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.d1', '24.c1', '24.d1'], 'contains': ['96.d1', '96.f1'], 'core': '48.d1', 'coset_action_label': None, 'count': 1, 'diagramx': [6469, 6469, 7044, 7044], 'generators': [98, 192], 'label': '1536.1699.48.d1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '48.d1', 'normal_contained_in': ['16.d1', '24.c1', '24.d1'], 'normal_contains': ['96.d1', '96.f1'], 'normalizer': '1.a1', 'old_label': '48.d1', 'projective_image': '48.23', 'quotient_action_image': '1.1', 'quotient_action_kernel': '48.23', 'quotient_action_kernel_order': 48, 'quotient_fusion': None, 'short_label': '48.d1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 982823
{'ambient': '1536.1699', 'aut_centralizer_order': 512, 'aut_label': '48.e1', 'aut_quo_index': 6, 'aut_stab_index': 1, 'aut_weyl_group': '32.48', 'aut_weyl_index': 512, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.e1', '24.c1', '24.e1'], 'contains': ['96.d1', '96.g1'], 'core': '48.e1', 'coset_action_label': None, 'count': 1, 'diagramx': [7631, 7631, 7848, 7848], 'generators': [4, 96], 'label': '1536.1699.48.e1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '48.e1', 'normal_contained_in': ['16.e1', '24.c1', '24.e1'], 'normal_contains': ['96.d1', '96.g1'], 'normalizer': '1.a1', 'old_label': '48.e1', 'projective_image': '48.20', 'quotient_action_image': '1.1', 'quotient_action_kernel': '48.20', 'quotient_action_kernel_order': 48, 'quotient_fusion': None, 'short_label': '48.e1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 982824
{'ambient': '1536.1699', 'aut_centralizer_order': 256, 'aut_label': '48.f1', 'aut_quo_index': 1, 'aut_stab_index': 4, 'aut_weyl_group': '16.5', 'aut_weyl_index': 1024, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 4, 'contained_in': ['16.f1', '24.d1'], 'contains': ['96.f1'], 'core': '48.f1', 'coset_action_label': None, 'count': 4, 'diagramx': [5859, 5859, 6422, 6422], 'generators': [49], 'label': '1536.1699.48.f1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '48.f1', 'normal_contained_in': ['16.f1', '24.d1'], 'normal_contains': ['96.f1'], 'normalizer': '1.a1', 'old_label': '48.f1', 'projective_image': '48.2', 'quotient_action_image': '1.1', 'quotient_action_kernel': '48.2', 'quotient_action_kernel_order': 48, 'quotient_fusion': None, 'short_label': '48.f1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 982825
{'ambient': '1536.1699', 'aut_centralizer_order': 256, 'aut_label': '48.g1', 'aut_quo_index': 2, 'aut_stab_index': 4, 'aut_weyl_group': '16.5', 'aut_weyl_index': 1024, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 4, 'contained_in': ['16.g1', '24.e1', '24.f1'], 'contains': ['96.g1'], 'core': '48.g1', 'coset_action_label': None, 'count': 4, 'diagramx': [8474, 8474, 9117, 9117], 'generators': [50], 'label': '1536.1699.48.g1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '48.g1', 'normal_contained_in': ['16.g1', '24.e1', '24.f1'], 'normal_contains': ['96.g1'], 'normalizer': '1.a1', 'old_label': '48.g1', 'projective_image': '48.23', 'quotient_action_image': '1.1', 'quotient_action_kernel': '48.23', 'quotient_action_kernel_order': 48, 'quotient_fusion': None, 'short_label': '48.g1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 982826
{'ambient': '1536.1699', 'aut_centralizer_order': 256, 'aut_label': '64.a1', 'aut_quo_index': 1, 'aut_stab_index': 8, 'aut_weyl_group': '8.5', 'aut_weyl_index': 2048, 'centralizer': '1.a1', 'complements': ['24.f1'], 'conjugacy_class_count': 8, 'contained_in': ['32.a1'], 'contains': ['128.a1', '192.a1'], 'core': '64.a1', 'coset_action_label': None, 'count': 8, 'diagramx': [170, 170, 343, 343], 'generators': [1, 512, 2, 4], 'label': '1536.1699.64.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '64.a1', 'normal_contained_in': ['32.a1'], 'normal_contains': ['128.a1', '192.a1'], 'normalizer': '1.a1', 'old_label': '64.a1', 'projective_image': '64.1', 'quotient_action_image': '1.1', 'quotient_action_kernel': '64.1', 'quotient_action_kernel_order': 64, 'quotient_fusion': None, 'short_label': '64.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 982827
{'ambient': '1536.1699', 'aut_centralizer_order': 1024, 'aut_label': '64.b1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '8.5', 'aut_weyl_index': 2048, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['32.a1', '32.b1'], 'contains': ['128.a1', '128.b1', '192.b1'], 'core': '64.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [1148, 1148, 1636, 1636], 'generators': [2, 768, 512, 4], 'label': '1536.1699.64.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '64.b1', 'normal_contained_in': ['32.a1', '32.b1'], 'normal_contains': ['128.a1', '128.b1', '192.b1'], 'normalizer': '1.a1', 'old_label': '64.b1', 'projective_image': '64.50', 'quotient_action_image': '1.1', 'quotient_action_kernel': '64.50', 'quotient_action_kernel_order': 64, 'quotient_fusion': None, 'short_label': '64.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 982828
{'ambient': '1536.1699', 'aut_centralizer_order': 16, 'aut_label': '4.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': None, 'aut_weyl_index': 16, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1'], 'contains': ['8.a1', '8.b1', '8.c1', '12.a1'], 'core': '4.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4988, 4988, 4310, 4310], 'generators': [1, 192, 4, 96, 2, 768, 384, 512], 'label': '1536.1699.4.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '4.a1', 'normal_contained_in': ['2.a1'], 'normal_contains': ['8.a1', '8.b1', '8.c1', '12.a1'], 'normalizer': '1.a1', 'old_label': '4.a1', 'projective_image': '4.1', 'quotient_action_image': '1.1', 'quotient_action_kernel': '4.1', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '4.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 982829
{'ambient': '1536.1699', 'aut_centralizer_order': 2048, 'aut_label': '64.c1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '8.5', 'aut_weyl_index': 2048, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.b1', '32.c1', '32.d1'], 'contains': ['128.b1', '128.c1', '128.d1', '192.c1'], 'core': '64.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [2493, 2493, 2850, 2850], 'generators': [4, 384, 512, 768], 'label': '1536.1699.64.c1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '64.c1', 'normal_contained_in': ['32.b1', '32.c1', '32.d1'], 'normal_contains': ['128.b1', '128.c1', '128.d1', '192.c1'], 'normalizer': '1.a1', 'old_label': '64.c1', 'projective_image': '64.26', 'quotient_action_image': '1.1', 'quotient_action_kernel': '64.26', 'quotient_action_kernel_order': 64, 'quotient_fusion': None, 'short_label': '64.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 982830
{'ambient': '1536.1699', 'aut_centralizer_order': 1024, 'aut_label': '64.d1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '8.5', 'aut_weyl_index': 2048, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['32.c1', '32.e1'], 'contains': ['128.c1', '192.d1'], 'core': '64.d1', 'coset_action_label': None, 'count': 2, 'diagramx': [3288, 3288, 3471, 3471], 'generators': [194, 512, 388, 768], 'label': '1536.1699.64.d1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '64.d1', 'normal_contained_in': ['32.c1', '32.e1'], 'normal_contains': ['128.c1', '192.d1'], 'normalizer': '1.a1', 'old_label': '64.d1', 'projective_image': '64.50', 'quotient_action_image': '1.1', 'quotient_action_kernel': '64.50', 'quotient_action_kernel_order': 64, 'quotient_fusion': None, 'short_label': '64.d1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 982831
{'ambient': '1536.1699', 'aut_centralizer_order': 2048, 'aut_label': '64.e1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '8.5', 'aut_weyl_index': 2048, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.d1', '32.f1'], 'contains': ['128.d1', '192.e1'], 'core': '64.e1', 'coset_action_label': None, 'count': 1, 'diagramx': [4818, 4818, 5011, 5011], 'generators': [196, 512, 384, 768], 'label': '1536.1699.64.e1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '64.e1', 'normal_contained_in': ['32.d1', '32.f1'], 'normal_contains': ['128.d1', '192.e1'], 'normalizer': '1.a1', 'old_label': '64.e1', 'projective_image': '64.26', 'quotient_action_image': '1.1', 'quotient_action_kernel': '64.26', 'quotient_action_kernel_order': 64, 'quotient_fusion': None, 'short_label': '64.e1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 982832
{'ambient': '1536.1699', 'aut_centralizer_order': 2048, 'aut_label': '64.f1', 'aut_quo_index': 12, 'aut_stab_index': 1, 'aut_weyl_group': '8.5', 'aut_weyl_index': 2048, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.d1', '32.g1'], 'contains': ['128.d1', '192.f1'], 'core': '64.f1', 'coset_action_label': None, 'count': 1, 'diagramx': [5244, 5244, 6551, 6551], 'generators': [192, 512, 384, 768], 'label': '1536.1699.64.f1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '64.f1', 'normal_contained_in': ['32.d1', '32.g1'], 'normal_contains': ['128.d1', '192.f1'], 'normalizer': '1.a1', 'old_label': '64.f1', 'projective_image': '64.2', 'quotient_action_image': '1.1', 'quotient_action_kernel': '64.2', 'quotient_action_kernel_order': 64, 'quotient_fusion': None, 'short_label': '64.f1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 982833
{'ambient': '1536.1699', 'aut_centralizer_order': 512, 'aut_label': '96.a1', 'aut_quo_index': 1, 'aut_stab_index': 4, 'aut_weyl_group': '8.5', 'aut_weyl_index': 2048, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 4, 'contained_in': ['32.a1', '48.a1'], 'contains': ['192.a1', '192.b1'], 'core': '96.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [663, 663, 896, 896], 'generators': [1, 768], 'label': '1536.1699.96.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '96.a1', 'normal_contained_in': ['32.a1', '48.a1'], 'normal_contains': ['192.a1', '192.b1'], 'normalizer': '1.a1', 'old_label': '96.a1', 'projective_image': '96.2', 'quotient_action_image': '1.1', 'quotient_action_kernel': '96.2', 'quotient_action_kernel_order': 96, 'quotient_fusion': None, 'short_label': '96.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 982834
{'ambient': '1536.1699', 'aut_centralizer_order': 1024, 'aut_label': '96.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '16.11', 'aut_weyl_index': 1024, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.b1', '48.a1', '48.b1'], 'contains': ['192.b1', '192.c1'], 'core': '96.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [1820, 1820, 2243, 2243], 'generators': [2, 384], 'label': '1536.1699.96.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '96.b1', 'normal_contained_in': ['32.b1', '48.a1', '48.b1'], 'normal_contains': ['192.b1', '192.c1'], 'normalizer': '1.a1', 'old_label': '96.b1', 'projective_image': '96.59', 'quotient_action_image': '1.1', 'quotient_action_kernel': '96.59', 'quotient_action_kernel_order': 96, 'quotient_fusion': None, 'short_label': '96.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 982835
{'ambient': '1536.1699', 'aut_centralizer_order': 1024, 'aut_label': '96.c1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '16.11', 'aut_weyl_index': 1024, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.c1', '48.b1', '48.c1'], 'contains': ['192.c1', '192.d1'], 'core': '96.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [3593, 3593, 4024, 4024], 'generators': [194, 384], 'label': '1536.1699.96.c1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '96.c1', 'normal_contained_in': ['32.c1', '48.b1', '48.c1'], 'normal_contains': ['192.c1', '192.d1'], 'normalizer': '1.a1', 'old_label': '96.c1', 'projective_image': '96.59', 'quotient_action_image': '1.1', 'quotient_action_kernel': '96.59', 'quotient_action_kernel_order': 96, 'quotient_fusion': None, 'short_label': '96.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 982836
{'ambient': '1536.1699', 'aut_centralizer_order': 2048, 'aut_label': '96.d1', 'aut_quo_index': 4, 'aut_stab_index': 1, 'aut_weyl_group': '8.5', 'aut_weyl_index': 2048, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.d1', '48.b1', '48.d1', '48.e1'], 'contains': ['192.c1', '192.e1', '192.f1'], 'core': '96.d1', 'coset_action_label': None, 'count': 1, 'diagramx': [6092, 6092, 5998, 5998], 'generators': [4, 192], 'label': '1536.1699.96.d1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '96.d1', 'normal_contained_in': ['32.d1', '48.b1', '48.d1', '48.e1'], 'normal_contains': ['192.c1', '192.e1', '192.f1'], 'normalizer': '1.a1', 'old_label': '96.d1', 'projective_image': '96.46', 'quotient_action_image': '1.1', 'quotient_action_kernel': '96.46', 'quotient_action_kernel_order': 96, 'quotient_fusion': None, 'short_label': '96.d1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 982838
{'ambient': '1536.1699', 'aut_centralizer_order': 1024, 'aut_label': '96.f1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '8.2', 'aut_weyl_index': 2048, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['32.f1', '48.d1', '48.f1'], 'contains': ['192.e1'], 'core': '96.f1', 'coset_action_label': None, 'count': 2, 'diagramx': [5549, 5549, 5445, 5445], 'generators': [98], 'label': '1536.1699.96.f1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '96.f1', 'normal_contained_in': ['32.f1', '48.d1', '48.f1'], 'normal_contains': ['192.e1'], 'normalizer': '1.a1', 'old_label': '96.f1', 'projective_image': '96.59', 'quotient_action_image': '1.1', 'quotient_action_kernel': '96.59', 'quotient_action_kernel_order': 96, 'quotient_fusion': None, 'short_label': '96.f1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 982839
{'ambient': '1536.1699', 'aut_centralizer_order': 16, 'aut_label': '4.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': None, 'aut_weyl_index': 16, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1'], 'contains': ['8.c1', '8.d1', '12.b1'], 'core': '4.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [6765, 6765, 5919, 5919], 'generators': [49, 192, 196, 96, 98, 768, 384, 512], 'label': '1536.1699.4.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '4.b1', 'normal_contained_in': ['2.a1'], 'normal_contains': ['8.c1', '8.d1', '12.b1'], 'normalizer': '1.a1', 'old_label': '4.b1', 'projective_image': '4.1', 'quotient_action_image': '1.1', 'quotient_action_kernel': '4.1', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '4.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 982840
{'ambient': '1536.1699', 'aut_centralizer_order': 1024, 'aut_label': '96.g1', 'aut_quo_index': 4, 'aut_stab_index': 2, 'aut_weyl_group': '8.2', 'aut_weyl_index': 2048, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['32.g1', '48.e1', '48.g1'], 'contains': ['192.f1'], 'core': '96.g1', 'coset_action_label': None, 'count': 2, 'diagramx': [7312, 7312, 8159, 8159], 'generators': [100], 'label': '1536.1699.96.g1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '96.g1', 'normal_contained_in': ['32.g1', '48.e1', '48.g1'], 'normal_contains': ['192.f1'], 'normalizer': '1.a1', 'old_label': '96.g1', 'projective_image': '96.46', 'quotient_action_image': '1.1', 'quotient_action_kernel': '96.46', 'quotient_action_kernel_order': 96, 'quotient_fusion': None, 'short_label': '96.g1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 982841
{'ambient': '1536.1699', 'aut_centralizer_order': 1024, 'aut_label': '128.a1', 'aut_quo_index': 1, 'aut_stab_index': 4, 'aut_weyl_group': '4.2', 'aut_weyl_index': 4096, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 4, 'contained_in': ['64.a1', '64.b1'], 'contains': ['256.a1', '384.a1'], 'core': '128.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [774, 774, 1458, 1458], 'generators': [2, 512, 4], 'label': '1536.1699.128.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '128.a1', 'normal_contained_in': ['64.a1', '64.b1'], 'normal_contains': ['256.a1', '384.a1'], 'normalizer': '1.a1', 'old_label': '128.a1', 'projective_image': '128.159', 'quotient_action_image': '1.1', 'quotient_action_kernel': '128.159', 'quotient_action_kernel_order': 128, 'quotient_fusion': None, 'short_label': '128.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 982842
{'ambient': '1536.1699', 'aut_centralizer_order': 4096, 'aut_label': '128.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '4.2', 'aut_weyl_index': 4096, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['64.b1', '64.c1'], 'contains': ['256.a1', '256.b1', '384.b1'], 'core': '128.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [1873, 1873, 2682, 2682], 'generators': [4, 768, 512], 'label': '1536.1699.128.b1', 'mobius_quo': -2, 'mobius_sub': 0, 'normal_closure': '128.b1', 'normal_contained_in': ['64.b1', '64.c1'], 'normal_contains': ['256.a1', '256.b1', '384.b1'], 'normalizer': '1.a1', 'old_label': '128.b1', 'projective_image': '128.128', 'quotient_action_image': '1.1', 'quotient_action_kernel': '128.128', 'quotient_action_kernel_order': 128, 'quotient_fusion': None, 'short_label': '128.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 982843
{'ambient': '1536.1699', 'aut_centralizer_order': 4096, 'aut_label': '128.c1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '4.2', 'aut_weyl_index': 4096, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['64.c1', '64.d1'], 'contains': ['256.b1', '384.c1'], 'core': '128.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [2600, 2600, 3235, 3235], 'generators': [388, 512, 768], 'label': '1536.1699.128.c1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '128.c1', 'normal_contained_in': ['64.c1', '64.d1'], 'normal_contains': ['256.b1', '384.c1'], 'normalizer': '1.a1', 'old_label': '128.c1', 'projective_image': '128.128', 'quotient_action_image': '1.1', 'quotient_action_kernel': '128.128', 'quotient_action_kernel_order': 128, 'quotient_fusion': None, 'short_label': '128.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 982844
{'ambient': '1536.1699', 'aut_centralizer_order': 4096, 'aut_label': '128.d1', 'aut_quo_index': 4, 'aut_stab_index': 1, 'aut_weyl_group': '4.2', 'aut_weyl_index': 4096, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['64.c1', '64.e1', '64.f1'], 'contains': ['256.b1', '384.d1'], 'core': '128.d1', 'coset_action_label': None, 'count': 1, 'diagramx': [3394, 3394, 4769, 4769], 'generators': [384, 512, 768], 'label': '1536.1699.128.d1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '128.d1', 'normal_contained_in': ['64.c1', '64.e1', '64.f1'], 'normal_contains': ['256.b1', '384.d1'], 'normalizer': '1.a1', 'old_label': '128.d1', 'projective_image': '128.42', 'quotient_action_image': '1.1', 'quotient_action_kernel': '128.42', 'quotient_action_kernel_order': 128, 'quotient_fusion': None, 'short_label': '128.d1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 982845
{'ambient': '1536.1699', 'aut_centralizer_order': 512, 'aut_label': '192.a1', 'aut_quo_index': 1, 'aut_stab_index': 8, 'aut_weyl_group': '4.2', 'aut_weyl_index': 4096, 'centralizer': '1.a1', 'complements': ['8.f1'], 'conjugacy_class_count': 8, 'contained_in': ['64.a1', '96.a1'], 'contains': ['384.a1'], 'core': '192.a1', 'coset_action_label': None, 'count': 8, 'diagramx': [455, 455, 896, 896], 'generators': [1], 'label': '1536.1699.192.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '192.a1', 'normal_contained_in': ['64.a1', '96.a1'], 'normal_contains': ['384.a1'], 'normalizer': '1.a1', 'old_label': '192.a1', 'projective_image': '192.2', 'quotient_action_image': '1.1', 'quotient_action_kernel': '192.2', 'quotient_action_kernel_order': 192, 'quotient_fusion': None, 'short_label': '192.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 982846
{'ambient': '1536.1699', 'aut_centralizer_order': 2048, 'aut_label': '192.b1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '4.2', 'aut_weyl_index': 4096, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['64.b1', '96.a1', '96.b1'], 'contains': ['384.a1', '384.b1'], 'core': '192.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [1327, 1327, 2011, 2011], 'generators': [2, 768], 'label': '1536.1699.192.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '192.b1', 'normal_contained_in': ['64.b1', '96.a1', '96.b1'], 'normal_contains': ['384.a1', '384.b1'], 'normalizer': '1.a1', 'old_label': '192.b1', 'projective_image': '192.175', 'quotient_action_image': '1.1', 'quotient_action_kernel': '192.175', 'quotient_action_kernel_order': 192, 'quotient_fusion': None, 'short_label': '192.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 982847
{'ambient': '1536.1699', 'aut_centralizer_order': 4096, 'aut_label': '192.c1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '4.2', 'aut_weyl_index': 4096, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['64.c1', '96.b1', '96.c1', '96.d1'], 'contains': ['384.b1', '384.c1', '384.d1'], 'core': '192.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [3089, 3089, 3787, 3787], 'generators': [4, 384], 'label': '1536.1699.192.c1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '192.c1', 'normal_contained_in': ['64.c1', '96.b1', '96.c1', '96.d1'], 'normal_contains': ['384.b1', '384.c1', '384.d1'], 'normalizer': '1.a1', 'old_label': '192.c1', 'projective_image': '192.151', 'quotient_action_image': '1.1', 'quotient_action_kernel': '192.151', 'quotient_action_kernel_order': 192, 'quotient_fusion': None, 'short_label': '192.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 982848
{'ambient': '1536.1699', 'aut_centralizer_order': 2048, 'aut_label': '192.d1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '4.2', 'aut_weyl_index': 4096, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['64.d1', '96.c1', '96.e1'], 'contains': ['384.c1'], 'core': '192.d1', 'coset_action_label': None, 'count': 2, 'diagramx': [3975, 3975, 4300, 4300], 'generators': [194], 'label': '1536.1699.192.d1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '192.d1', 'normal_contained_in': ['64.d1', '96.c1', '96.e1'], 'normal_contains': ['384.c1'], 'normalizer': '1.a1', 'old_label': '192.d1', 'projective_image': '192.175', 'quotient_action_image': '1.1', 'quotient_action_kernel': '192.175', 'quotient_action_kernel_order': 192, 'quotient_fusion': None, 'short_label': '192.d1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 982849
{'ambient': '1536.1699', 'aut_centralizer_order': 4096, 'aut_label': '192.e1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '4.2', 'aut_weyl_index': 4096, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['64.e1', '96.d1', '96.f1'], 'contains': ['384.d1'], 'core': '192.e1', 'coset_action_label': None, 'count': 1, 'diagramx': [4958, 4958, 5391, 5391], 'generators': [196], 'label': '1536.1699.192.e1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '192.e1', 'normal_contained_in': ['64.e1', '96.d1', '96.f1'], 'normal_contains': ['384.d1'], 'normalizer': '1.a1', 'old_label': '192.e1', 'projective_image': '192.151', 'quotient_action_image': '1.1', 'quotient_action_kernel': '192.151', 'quotient_action_kernel_order': 192, 'quotient_fusion': None, 'short_label': '192.e1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 982850
{'ambient': '1536.1699', 'aut_centralizer_order': 16, 'aut_label': '4.c1', 'aut_quo_index': 3, 'aut_stab_index': 1, 'aut_weyl_group': None, 'aut_weyl_index': 16, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1', '2.b1'], 'contains': ['8.c1', '8.e1', '12.c1'], 'core': '4.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [7676, 7676, 7528, 7528], 'generators': [2, 96, 192, 48, 4, 768, 384, 512], 'label': '1536.1699.4.c1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.c1', 'normal_contained_in': ['2.a1', '2.b1'], 'normal_contains': ['8.c1', '8.e1', '12.c1'], 'normalizer': '1.a1', 'old_label': '4.c1', 'projective_image': '4.2', 'quotient_action_image': '1.1', 'quotient_action_kernel': '4.2', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '4.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 982851
{'ambient': '1536.1699', 'aut_centralizer_order': 4096, 'aut_label': '192.f1', 'aut_quo_index': 12, 'aut_stab_index': 1, 'aut_weyl_group': '4.2', 'aut_weyl_index': 4096, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['64.f1', '96.d1', '96.g1'], 'contains': ['384.d1'], 'core': '192.f1', 'coset_action_label': None, 'count': 1, 'diagramx': [5578, 5578, 6274, 6274], 'generators': [192], 'label': '1536.1699.192.f1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '192.f1', 'normal_contained_in': ['64.f1', '96.d1', '96.g1'], 'normal_contains': ['384.d1'], 'normalizer': '1.a1', 'old_label': '192.f1', 'projective_image': '192.127', 'quotient_action_image': '1.1', 'quotient_action_kernel': '192.127', 'quotient_action_kernel_order': 192, 'quotient_fusion': None, 'short_label': '192.f1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 982852
{'ambient': '1536.1699', 'aut_centralizer_order': 4096, 'aut_label': '256.a1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '2.1', 'aut_weyl_index': 8192, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['128.a1', '128.b1'], 'contains': ['512.a1', '768.a1'], 'core': '256.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [1467, 1467, 2475, 2475], 'generators': [4, 512], 'label': '1536.1699.256.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '256.a1', 'normal_contained_in': ['128.a1', '128.b1'], 'normal_contains': ['512.a1', '768.a1'], 'normalizer': '1.a1', 'old_label': '256.a1', 'projective_image': '256.497', 'quotient_action_image': '1.1', 'quotient_action_kernel': '256.497', 'quotient_action_kernel_order': 256, 'quotient_fusion': None, 'short_label': '256.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
-
id: 982853
{'ambient': '1536.1699', 'aut_centralizer_order': 8192, 'aut_label': '256.b1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 8192, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['128.b1', '128.c1', '128.d1'], 'contains': ['512.a1', '768.b1'], 'core': '256.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [2223, 2223, 3235, 3235], 'generators': [768, 512], 'label': '1536.1699.256.b1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '256.b1', 'normal_contained_in': ['128.b1', '128.c1', '128.d1'], 'normal_contains': ['512.a1', '768.b1'], 'normalizer': '1.a1', 'old_label': '256.b1', 'projective_image': '256.316', 'quotient_action_image': '1.1', 'quotient_action_kernel': '256.316', 'quotient_action_kernel_order': 256, 'quotient_fusion': None, 'short_label': '256.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 982854
{'ambient': '1536.1699', 'aut_centralizer_order': 2048, 'aut_label': '384.a1', 'aut_quo_index': 1, 'aut_stab_index': 4, 'aut_weyl_group': '2.1', 'aut_weyl_index': 8192, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 4, 'contained_in': ['128.a1', '192.a1', '192.b1'], 'contains': ['768.a1'], 'core': '384.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [958, 958, 1734, 1734], 'generators': [2], 'label': '1536.1699.384.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '384.a1', 'normal_contained_in': ['128.a1', '192.a1', '192.b1'], 'normal_contains': ['768.a1'], 'normalizer': '1.a1', 'old_label': '384.a1', 'projective_image': '384.563', 'quotient_action_image': '1.1', 'quotient_action_kernel': '384.563', 'quotient_action_kernel_order': 384, 'quotient_fusion': None, 'short_label': '384.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 982855
{'ambient': '1536.1699', 'aut_centralizer_order': 8192, 'aut_label': '384.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 8192, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['128.b1', '192.b1', '192.c1'], 'contains': ['768.a1', '768.b1'], 'core': '384.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [1932, 1932, 2855, 2855], 'generators': [4, 768], 'label': '1536.1699.384.b1', 'mobius_quo': 2, 'mobius_sub': 0, 'normal_closure': '384.b1', 'normal_contained_in': ['128.b1', '192.b1', '192.c1'], 'normal_contains': ['768.a1', '768.b1'], 'normalizer': '1.a1', 'old_label': '384.b1', 'projective_image': '384.532', 'quotient_action_image': '1.1', 'quotient_action_kernel': '384.532', 'quotient_action_kernel_order': 384, 'quotient_fusion': None, 'short_label': '384.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 982856
{'ambient': '1536.1699', 'aut_centralizer_order': 8192, 'aut_label': '384.c1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 8192, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['128.c1', '192.c1', '192.d1'], 'contains': ['768.b1'], 'core': '384.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [2790, 2790, 3689, 3689], 'generators': [388], 'label': '1536.1699.384.c1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '384.c1', 'normal_contained_in': ['128.c1', '192.c1', '192.d1'], 'normal_contains': ['768.b1'], 'normalizer': '1.a1', 'old_label': '384.c1', 'projective_image': '384.532', 'quotient_action_image': '1.1', 'quotient_action_kernel': '384.532', 'quotient_action_kernel_order': 384, 'quotient_fusion': None, 'short_label': '384.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 982857
{'ambient': '1536.1699', 'aut_centralizer_order': 8192, 'aut_label': '384.d1', 'aut_quo_index': 4, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 8192, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['128.d1', '192.c1', '192.e1', '192.f1'], 'contains': ['768.b1'], 'core': '384.d1', 'coset_action_label': None, 'count': 1, 'diagramx': [3510, 3510, 4769, 4769], 'generators': [384], 'label': '1536.1699.384.d1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '384.d1', 'normal_contained_in': ['128.d1', '192.c1', '192.e1', '192.f1'], 'normal_contains': ['768.b1'], 'normalizer': '1.a1', 'old_label': '384.d1', 'projective_image': '384.446', 'quotient_action_image': '1.1', 'quotient_action_kernel': '384.446', 'quotient_action_kernel_order': 384, 'quotient_fusion': None, 'short_label': '384.d1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 982858
{'ambient': '1536.1699', 'aut_centralizer_order': 8192, 'aut_label': '512.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 8192, 'centralizer': '1.a1', 'complements': ['1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['256.a1', '256.b1'], 'contains': ['1536.a1'], 'core': '512.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1942, 1942, 2869, 2869], 'generators': [512], 'label': '1536.1699.512.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '512.a1', 'normal_contained_in': ['256.a1', '256.b1'], 'normal_contains': ['1536.a1'], 'normalizer': '1.a1', 'old_label': '512.a1', 'projective_image': '512.1699', 'quotient_action_image': '1.1', 'quotient_action_kernel': '1536.1699', 'quotient_action_kernel_order': 1536, 'quotient_fusion': None, 'short_label': '512.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 982859
{'ambient': '1536.1699', 'aut_centralizer_order': 8192, 'aut_label': '768.a1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '1.1', 'aut_weyl_index': 16384, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['256.a1', '384.a1', '384.b1'], 'contains': ['1536.a1'], 'core': '768.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [1559, 1559, 2489, 2489], 'generators': [4], 'label': '1536.1699.768.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '768.a1', 'normal_contained_in': ['256.a1', '384.a1', '384.b1'], 'normal_contains': ['1536.a1'], 'normalizer': '1.a1', 'old_label': '768.a1', 'projective_image': '768.497', 'quotient_action_image': '1.1', 'quotient_action_kernel': '768.497', 'quotient_action_kernel_order': 768, 'quotient_fusion': None, 'short_label': '768.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 982860
{'ambient': '1536.1699', 'aut_centralizer_order': 16384, 'aut_label': '768.b1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '1.1', 'aut_weyl_index': 16384, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['256.b1', '384.b1', '384.c1', '384.d1'], 'contains': ['1536.a1'], 'core': '768.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [2407, 2407, 3235, 3235], 'generators': [768], 'label': '1536.1699.768.b1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '768.b1', 'normal_contained_in': ['256.b1', '384.b1', '384.c1', '384.d1'], 'normal_contains': ['1536.a1'], 'normalizer': '1.a1', 'old_label': '768.b1', 'projective_image': '768.316', 'quotient_action_image': '1.1', 'quotient_action_kernel': '768.316', 'quotient_action_kernel_order': 768, 'quotient_fusion': None, 'short_label': '768.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 982861
{'ambient': '1536.1699', 'aut_centralizer_order': 16, 'aut_label': '4.d1', 'aut_quo_index': 1, 'aut_stab_index': 4, 'aut_weyl_group': '256.55610', 'aut_weyl_index': 64, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 4, 'contained_in': ['2.b1'], 'contains': ['8.e1', '8.f1', '12.d1'], 'core': '4.d1', 'coset_action_label': None, 'count': 4, 'diagramx': [8857, 8857, 9161, 9161], 'generators': [27, 100, 192, 96, 54, 768, 384, 512], 'label': '1536.1699.4.d1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '4.d1', 'normal_contained_in': ['2.b1'], 'normal_contains': ['8.e1', '8.f1', '12.d1'], 'normalizer': '1.a1', 'old_label': '4.d1', 'projective_image': '4.1', 'quotient_action_image': '1.1', 'quotient_action_kernel': '4.1', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '4.d1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 982862
{'ambient': '1536.1699', 'aut_centralizer_order': None, 'aut_label': '1536.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': ['1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['512.a1', '768.a1', '768.b1'], 'contains': [], 'core': '1536.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1942, 1942, 2869, 2869], 'generators': [], 'label': '1536.1699.1536.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '1536.a1', 'normal_contained_in': ['512.a1', '768.a1', '768.b1'], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '1536.a1', 'projective_image': '1536.1699', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1536.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
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id: 982863
{'ambient': '1536.1699', 'aut_centralizer_order': 8, 'aut_label': '6.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': None, 'aut_weyl_index': 8, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1', '3.a1'], 'contains': ['12.a1', '12.b1', '12.c1'], 'core': '6.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8348, 8348, 6724, 6724], 'generators': [1, 48], 'label': '1536.1699.6.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '6.a1', 'normal_contained_in': ['2.a1', '3.a1'], 'normal_contains': ['12.a1', '12.b1', '12.c1'], 'normalizer': '1.a1', 'old_label': '6.a1', 'projective_image': '6.2', 'quotient_action_image': '1.1', 'quotient_action_kernel': '6.2', 'quotient_action_kernel_order': 6, 'quotient_fusion': None, 'short_label': '6.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}